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Finding the Fourth Proportional to 947.38, 1,307.34 and 527.70

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Solution

The fourth proportional to 947.38, 1,307.34 and 527.70 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.38 : 1,307.34 = 527.70 : x
  2. Step 2: Convert to fraction form
    947.38/1,307.34 = 527.70/x
  3. Step 3: Cross multiply
    947.38x = 1,307.34 × 527.70
  4. Step 4: Simplify right side
    947.38x = 689,883.32
  5. Step 5: Solve for x
    x = 689,883.32/947.38
  6. Step 6: Final answer
    x = 728.20

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Half scale
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Double scale
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1.5x scale

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.