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Finding the Fourth Proportional to 947.57, 1,307.54 and 543.78

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Solution

The fourth proportional to 947.57, 1,307.54 and 543.78 is: 750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,307.54 = 543.78 : x
  2. Step 2: Convert to fraction form
    947.57/1,307.54 = 543.78/x
  3. Step 3: Cross multiply
    947.57x = 1,307.54 × 543.78
  4. Step 4: Simplify right side
    947.57x = 711,011.38
  5. Step 5: Solve for x
    x = 711,011.38/947.57
  6. Step 6: Final answer
    x = 750.36

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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.