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Finding the Fourth Proportional to 934.47, 1,288.22 and 653.83

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Solution

The fourth proportional to 934.47, 1,288.22 and 653.83 is: 901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.47 : 1,288.22 = 653.83 : x
  2. Step 2: Convert to fraction form
    934.47/1,288.22 = 653.83/x
  3. Step 3: Cross multiply
    934.47x = 1,288.22 × 653.83
  4. Step 4: Simplify right side
    934.47x = 842,273.61
  5. Step 5: Solve for x
    x = 842,273.61/934.47
  6. Step 6: Final answer
    x = 901.34

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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.