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Finding the Fourth Proportional to 947.38, 1,307.39 and 527.77

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Solution

The fourth proportional to 947.38, 1,307.39 and 527.77 is: 728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.38 : 1,307.39 = 527.77 : x
  2. Step 2: Convert to fraction form
    947.38/1,307.39 = 527.77/x
  3. Step 3: Cross multiply
    947.38x = 1,307.39 × 527.77
  4. Step 4: Simplify right side
    947.38x = 689,998.58
  5. Step 5: Solve for x
    x = 689,998.58/947.38
  6. Step 6: Final answer
    x = 728.32

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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.