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Finding the Fourth Proportional to 782.35, 1,172.68 and 508.64

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Solution

The fourth proportional to 782.35, 1,172.68 and 508.64 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,172.68 = 508.64 : x
  2. Step 2: Convert to fraction form
    782.35/1,172.68 = 508.64/x
  3. Step 3: Cross multiply
    782.35x = 1,172.68 × 508.64
  4. Step 4: Simplify right side
    782.35x = 596,467.75
  5. Step 5: Solve for x
    x = 596,467.75/782.35
  6. Step 6: Final answer
    x = 762.41

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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.