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Finding the Fourth Proportional to 782.85, 1,172.22 and 508.53

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Solution

The fourth proportional to 782.85, 1,172.22 and 508.53 is: 761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,172.22 = 508.53 : x
  2. Step 2: Convert to fraction form
    782.85/1,172.22 = 508.53/x
  3. Step 3: Cross multiply
    782.85x = 1,172.22 × 508.53
  4. Step 4: Simplify right side
    782.85x = 596,109.04
  5. Step 5: Solve for x
    x = 596,109.04/782.85
  6. Step 6: Final answer
    x = 761.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.