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Finding the Fourth Proportional to 531.16, 731.53 and 457.45

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Solution

The fourth proportional to 531.16, 731.53 and 457.45 is: 630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 731.53 = 457.45 : x
  2. Step 2: Convert to fraction form
    531.16/731.53 = 457.45/x
  3. Step 3: Cross multiply
    531.16x = 731.53 × 457.45
  4. Step 4: Simplify right side
    531.16x = 334,637.14
  5. Step 5: Solve for x
    x = 334,637.14/531.16
  6. Step 6: Final answer
    x = 630.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.