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Finding the Fourth Proportional to 1,058.76, 1,461.12 and 593

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Solution

The fourth proportional to 1,058.76, 1,461.12 and 593 is: 818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.76 : 1,461.12 = 593 : x
  2. Step 2: Convert to fraction form
    1,058.76/1,461.12 = 593/x
  3. Step 3: Cross multiply
    1,058.76x = 1,461.12 × 593
  4. Step 4: Simplify right side
    1,058.76x = 866,444.16
  5. Step 5: Solve for x
    x = 866,444.16/1,058.76
  6. Step 6: Final answer
    x = 818.36

Related Problems

Find fourth proportional to 529.38, 730.56 and 296.50
Half scale
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Double scale
Find fourth proportional to 1,059.76, 1,462.50 and 594
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.