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Finding the Fourth Proportional to 947.88, 1,307.97 and 528.14

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Solution

The fourth proportional to 947.88, 1,307.97 and 528.14 is: 728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,307.97 = 528.14 : x
  2. Step 2: Convert to fraction form
    947.88/1,307.97 = 528.14/x
  3. Step 3: Cross multiply
    947.88x = 1,307.97 × 528.14
  4. Step 4: Simplify right side
    947.88x = 690,794.55
  5. Step 5: Solve for x
    x = 690,794.55/947.88
  6. Step 6: Final answer
    x = 728.78

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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.