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Finding the Fourth Proportional to 785.91, 1,084.65 and 471.35

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Solution

The fourth proportional to 785.91, 1,084.65 and 471.35 is: 650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,084.65 = 471.35 : x
  2. Step 2: Convert to fraction form
    785.91/1,084.65 = 471.35/x
  3. Step 3: Cross multiply
    785.91x = 1,084.65 × 471.35
  4. Step 4: Simplify right side
    785.91x = 511,251.21
  5. Step 5: Solve for x
    x = 511,251.21/785.91
  6. Step 6: Final answer
    x = 650.52

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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.