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Finding the Fourth Proportional to 704.77, 972.61 and 424.98

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Solution

The fourth proportional to 704.77, 972.61 and 424.98 is: 586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 972.61 = 424.98 : x
  2. Step 2: Convert to fraction form
    704.77/972.61 = 424.98/x
  3. Step 3: Cross multiply
    704.77x = 972.61 × 424.98
  4. Step 4: Simplify right side
    704.77x = 413,338.74
  5. Step 5: Solve for x
    x = 413,338.74/704.77
  6. Step 6: Final answer
    x = 586.49

Related Problems

Find fourth proportional to 352.38, 486.30 and 212.49
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.