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Finding the Fourth Proportional to 932.69, 1,399.26 and 316.53

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Solution

The fourth proportional to 932.69, 1,399.26 and 316.53 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.69 : 1,399.26 = 316.53 : x
  2. Step 2: Convert to fraction form
    932.69/1,399.26 = 316.53/x
  3. Step 3: Cross multiply
    932.69x = 1,399.26 × 316.53
  4. Step 4: Simplify right side
    932.69x = 442,907.77
  5. Step 5: Solve for x
    x = 442,907.77/932.69
  6. Step 6: Final answer
    x = 474.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.