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Finding the Fourth Proportional to 932.07, 1,286.19 and 512.35

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Solution

The fourth proportional to 932.07, 1,286.19 and 512.35 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,286.19 = 512.35 : x
  2. Step 2: Convert to fraction form
    932.07/1,286.19 = 512.35/x
  3. Step 3: Cross multiply
    932.07x = 1,286.19 × 512.35
  4. Step 4: Simplify right side
    932.07x = 658,979.45
  5. Step 5: Solve for x
    x = 658,979.45/932.07
  6. Step 6: Final answer
    x = 707.01

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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.