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Finding the Fourth Proportional to 531.15, 733.01 and 465.54

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Solution

The fourth proportional to 531.15, 733.01 and 465.54 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.15 : 733.01 = 465.54 : x
  2. Step 2: Convert to fraction form
    531.15/733.01 = 465.54/x
  3. Step 3: Cross multiply
    531.15x = 733.01 × 465.54
  4. Step 4: Simplify right side
    531.15x = 341,245.48
  5. Step 5: Solve for x
    x = 341,245.48/531.15
  6. Step 6: Final answer
    x = 642.47

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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.