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Finding the Fourth Proportional to 925.47, 1,275.96 and 777.78

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Solution

The fourth proportional to 925.47, 1,275.96 and 777.78 is: 1,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.47 : 1,275.96 = 777.78 : x
  2. Step 2: Convert to fraction form
    925.47/1,275.96 = 777.78/x
  3. Step 3: Cross multiply
    925.47x = 1,275.96 × 777.78
  4. Step 4: Simplify right side
    925.47x = 992,416.17
  5. Step 5: Solve for x
    x = 992,416.17/925.47
  6. Step 6: Final answer
    x = 1,072.34

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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.