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Finding the Fourth Proportional to 529.16, 728.42 and 458.80

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Solution

The fourth proportional to 529.16, 728.42 and 458.80 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 728.42 = 458.80 : x
  2. Step 2: Convert to fraction form
    529.16/728.42 = 458.80/x
  3. Step 3: Cross multiply
    529.16x = 728.42 × 458.80
  4. Step 4: Simplify right side
    529.16x = 334,199.10
  5. Step 5: Solve for x
    x = 334,199.10/529.16
  6. Step 6: Final answer
    x = 631.57

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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.