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Finding the Fourth Proportional to 787.03, 1,180.21 and 421.75

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Solution

The fourth proportional to 787.03, 1,180.21 and 421.75 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.03 : 1,180.21 = 421.75 : x
  2. Step 2: Convert to fraction form
    787.03/1,180.21 = 421.75/x
  3. Step 3: Cross multiply
    787.03x = 1,180.21 × 421.75
  4. Step 4: Simplify right side
    787.03x = 497,753.57
  5. Step 5: Solve for x
    x = 497,753.57/787.03
  6. Step 6: Final answer
    x = 632.45

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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.