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Finding the Fourth Proportional to 876.46, 1,209.51 and 478.12

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Solution

The fourth proportional to 876.46, 1,209.51 and 478.12 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.46 : 1,209.51 = 478.12 : x
  2. Step 2: Convert to fraction form
    876.46/1,209.51 = 478.12/x
  3. Step 3: Cross multiply
    876.46x = 1,209.51 × 478.12
  4. Step 4: Simplify right side
    876.46x = 578,290.92
  5. Step 5: Solve for x
    x = 578,290.92/876.46
  6. Step 6: Final answer
    x = 659.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.