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Finding the Fourth Proportional to 934.47, 1,289.66 and 686.61

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Solution

The fourth proportional to 934.47, 1,289.66 and 686.61 is: 947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.47 : 1,289.66 = 686.61 : x
  2. Step 2: Convert to fraction form
    934.47/1,289.66 = 686.61/x
  3. Step 3: Cross multiply
    934.47x = 1,289.66 × 686.61
  4. Step 4: Simplify right side
    934.47x = 885,490.02
  5. Step 5: Solve for x
    x = 885,490.02/934.47
  6. Step 6: Final answer
    x = 947.59

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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.