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Finding the Fourth Proportional to 787.01, 1,179.81 and 508.61

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Solution

The fourth proportional to 787.01, 1,179.81 and 508.61 is: 762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.01 : 1,179.81 = 508.61 : x
  2. Step 2: Convert to fraction form
    787.01/1,179.81 = 508.61/x
  3. Step 3: Cross multiply
    787.01x = 1,179.81 × 508.61
  4. Step 4: Simplify right side
    787.01x = 600,066.11
  5. Step 5: Solve for x
    x = 600,066.11/787.01
  6. Step 6: Final answer
    x = 762.47

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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.