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Finding the Fourth Proportional to 787.08, 1,179.70 and 422.13

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Solution

The fourth proportional to 787.08, 1,179.70 and 422.13 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,179.70 = 422.13 : x
  2. Step 2: Convert to fraction form
    787.08/1,179.70 = 422.13/x
  3. Step 3: Cross multiply
    787.08x = 1,179.70 × 422.13
  4. Step 4: Simplify right side
    787.08x = 497,985.71
  5. Step 5: Solve for x
    x = 497,985.71/787.08
  6. Step 6: Final answer
    x = 632.70

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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.