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Finding the Fourth Proportional to 785.61, 1,084.17 and 431.57

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Solution

The fourth proportional to 785.61, 1,084.17 and 431.57 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.61 : 1,084.17 = 431.57 : x
  2. Step 2: Convert to fraction form
    785.61/1,084.17 = 431.57/x
  3. Step 3: Cross multiply
    785.61x = 1,084.17 × 431.57
  4. Step 4: Simplify right side
    785.61x = 467,895.25
  5. Step 5: Solve for x
    x = 467,895.25/785.61
  6. Step 6: Final answer
    x = 595.58

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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.