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Finding the Fourth Proportional to 947.32, 1,307.36 and 527.76

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Solution

The fourth proportional to 947.32, 1,307.36 and 527.76 is: 728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.32 : 1,307.36 = 527.76 : x
  2. Step 2: Convert to fraction form
    947.32/1,307.36 = 527.76/x
  3. Step 3: Cross multiply
    947.32x = 1,307.36 × 527.76
  4. Step 4: Simplify right side
    947.32x = 689,973.63
  5. Step 5: Solve for x
    x = 689,973.63/947.32
  6. Step 6: Final answer
    x = 728.34

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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.