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Finding the Fourth Proportional to 947.81, 1,307.90 and 528.14

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Solution

The fourth proportional to 947.81, 1,307.90 and 528.14 is: 728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,307.90 = 528.14 : x
  2. Step 2: Convert to fraction form
    947.81/1,307.90 = 528.14/x
  3. Step 3: Cross multiply
    947.81x = 1,307.90 × 528.14
  4. Step 4: Simplify right side
    947.81x = 690,745.13
  5. Step 5: Solve for x
    x = 690,745.13/947.81
  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.