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Finding the Fourth Proportional to 531.06, 791.32 and 476.53

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Solution

The fourth proportional to 531.06, 791.32 and 476.53 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.06 : 791.32 = 476.53 : x
  2. Step 2: Convert to fraction form
    531.06/791.32 = 476.53/x
  3. Step 3: Cross multiply
    531.06x = 791.32 × 476.53
  4. Step 4: Simplify right side
    531.06x = 377,089.89
  5. Step 5: Solve for x
    x = 377,089.89/531.06
  6. Step 6: Final answer
    x = 710.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.