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Finding the Fourth Proportional to 531.58, 732.86 and 398.99

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Solution

The fourth proportional to 531.58, 732.86 and 398.99 is: 550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.58 : 732.86 = 398.99 : x
  2. Step 2: Convert to fraction form
    531.58/732.86 = 398.99/x
  3. Step 3: Cross multiply
    531.58x = 732.86 × 398.99
  4. Step 4: Simplify right side
    531.58x = 292,403.81
  5. Step 5: Solve for x
    x = 292,403.81/531.58
  6. Step 6: Final answer
    x = 550.07

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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.