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Finding the Fourth Proportional to 947.30, 1,307.36 and 527.72

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Solution

The fourth proportional to 947.30, 1,307.36 and 527.72 is: 728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,307.36 = 527.72 : x
  2. Step 2: Convert to fraction form
    947.30/1,307.36 = 527.72/x
  3. Step 3: Cross multiply
    947.30x = 1,307.36 × 527.72
  4. Step 4: Simplify right side
    947.30x = 689,914.80
  5. Step 5: Solve for x
    x = 689,914.80/947.30
  6. Step 6: Final answer
    x = 728.30

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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.