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Finding the Fourth Proportional to 531.65, 732.69 and 465.12

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Solution

The fourth proportional to 531.65, 732.69 and 465.12 is: 641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 732.69 = 465.12 : x
  2. Step 2: Convert to fraction form
    531.65/732.69 = 465.12/x
  3. Step 3: Cross multiply
    531.65x = 732.69 × 465.12
  4. Step 4: Simplify right side
    531.65x = 340,788.77
  5. Step 5: Solve for x
    x = 340,788.77/531.65
  6. Step 6: Final answer
    x = 641.01

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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.