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Finding the Fourth Proportional to 932.80, 1,287.68 and 684.16

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Solution

The fourth proportional to 932.80, 1,287.68 and 684.16 is: 944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.80 : 1,287.68 = 684.16 : x
  2. Step 2: Convert to fraction form
    932.80/1,287.68 = 684.16/x
  3. Step 3: Cross multiply
    932.80x = 1,287.68 × 684.16
  4. Step 4: Simplify right side
    932.80x = 880,979.15
  5. Step 5: Solve for x
    x = 880,979.15/932.80
  6. Step 6: Final answer
    x = 944.45

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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.