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Finding the Fourth Proportional to 782.55, 1,168.04 and 690.30

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Solution

The fourth proportional to 782.55, 1,168.04 and 690.30 is: 1,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.55 : 1,168.04 = 690.30 : x
  2. Step 2: Convert to fraction form
    782.55/1,168.04 = 690.30/x
  3. Step 3: Cross multiply
    782.55x = 1,168.04 × 690.30
  4. Step 4: Simplify right side
    782.55x = 806,294.56
  5. Step 5: Solve for x
    x = 806,294.56/782.55
  6. Step 6: Final answer
    x = 1,030.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.