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Finding the Fourth Proportional to 602.20, 830.46 and 471.16

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Solution

The fourth proportional to 602.20, 830.46 and 471.16 is: 649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 830.46 = 471.16 : x
  2. Step 2: Convert to fraction form
    602.20/830.46 = 471.16/x
  3. Step 3: Cross multiply
    602.20x = 830.46 × 471.16
  4. Step 4: Simplify right side
    602.20x = 391,279.53
  5. Step 5: Solve for x
    x = 391,279.53/602.20
  6. Step 6: Final answer
    x = 649.75

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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.