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Finding the Fourth Proportional to 596.16, 821.70 and 471.24

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Solution

The fourth proportional to 596.16, 821.70 and 471.24 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 821.70 = 471.24 : x
  2. Step 2: Convert to fraction form
    596.16/821.70 = 471.24/x
  3. Step 3: Cross multiply
    596.16x = 821.70 × 471.24
  4. Step 4: Simplify right side
    596.16x = 387,217.91
  5. Step 5: Solve for x
    x = 387,217.91/596.16
  6. Step 6: Final answer
    x = 649.52

Related Problems

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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.