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Finding the Fourth Proportional to 947, 1,306.80 and 527.36

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Solution

The fourth proportional to 947, 1,306.80 and 527.36 is: 727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,306.80 = 527.36 : x
  2. Step 2: Convert to fraction form
    947/1,306.80 = 527.36/x
  3. Step 3: Cross multiply
    947x = 1,306.80 × 527.36
  4. Step 4: Simplify right side
    947x = 689,154.05
  5. Step 5: Solve for x
    x = 689,154.05/947
  6. Step 6: Final answer
    x = 727.72

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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.