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Finding the Fourth Proportional to 925.71, 1,388.64 and 463.19

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Solution

The fourth proportional to 925.71, 1,388.64 and 463.19 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.71 : 1,388.64 = 463.19 : x
  2. Step 2: Convert to fraction form
    925.71/1,388.64 = 463.19/x
  3. Step 3: Cross multiply
    925.71x = 1,388.64 × 463.19
  4. Step 4: Simplify right side
    925.71x = 643,197.22
  5. Step 5: Solve for x
    x = 643,197.22/925.71
  6. Step 6: Final answer
    x = 694.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.