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Finding the Fourth Proportional to 951.83, 1,428.20 and 432.20

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Solution

The fourth proportional to 951.83, 1,428.20 and 432.20 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.83 : 1,428.20 = 432.20 : x
  2. Step 2: Convert to fraction form
    951.83/1,428.20 = 432.20/x
  3. Step 3: Cross multiply
    951.83x = 1,428.20 × 432.20
  4. Step 4: Simplify right side
    951.83x = 617,268.04
  5. Step 5: Solve for x
    x = 617,268.04/951.83
  6. Step 6: Final answer
    x = 648.51

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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.