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Finding the Fourth Proportional to 782.97, 1,079.40 and 559.02

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Solution

The fourth proportional to 782.97, 1,079.40 and 559.02 is: 770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,079.40 = 559.02 : x
  2. Step 2: Convert to fraction form
    782.97/1,079.40 = 559.02/x
  3. Step 3: Cross multiply
    782.97x = 1,079.40 × 559.02
  4. Step 4: Simplify right side
    782.97x = 603,406.19
  5. Step 5: Solve for x
    x = 603,406.19/782.97
  6. Step 6: Final answer
    x = 770.66

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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.