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Finding the Fourth Proportional to 712.46, 983.27 and 432.76

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Solution

The fourth proportional to 712.46, 983.27 and 432.76 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.46 : 983.27 = 432.76 : x
  2. Step 2: Convert to fraction form
    712.46/983.27 = 432.76/x
  3. Step 3: Cross multiply
    712.46x = 983.27 × 432.76
  4. Step 4: Simplify right side
    712.46x = 425,519.93
  5. Step 5: Solve for x
    x = 425,519.93/712.46
  6. Step 6: Final answer
    x = 597.26

Related Problems

Find fourth proportional to 356.23, 491.64 and 216.38
Half scale
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Double scale
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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.