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Finding the Fourth Proportional to 785.77, 1,084.46 and 491.20

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Solution

The fourth proportional to 785.77, 1,084.46 and 491.20 is: 677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,084.46 = 491.20 : x
  2. Step 2: Convert to fraction form
    785.77/1,084.46 = 491.20/x
  3. Step 3: Cross multiply
    785.77x = 1,084.46 × 491.20
  4. Step 4: Simplify right side
    785.77x = 532,681.58
  5. Step 5: Solve for x
    x = 532,681.58/785.77
  6. Step 6: Final answer
    x = 677.91

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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.