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Finding the Fourth Proportional to 959.38, 1,437.66 and 472.76

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Solution

The fourth proportional to 959.38, 1,437.66 and 472.76 is: 708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.38 : 1,437.66 = 472.76 : x
  2. Step 2: Convert to fraction form
    959.38/1,437.66 = 472.76/x
  3. Step 3: Cross multiply
    959.38x = 1,437.66 × 472.76
  4. Step 4: Simplify right side
    959.38x = 679,668.14
  5. Step 5: Solve for x
    x = 679,668.14/959.38
  6. Step 6: Final answer
    x = 708.45

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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.