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Finding the Fourth Proportional to 876.47, 1,209.54 and 483.48

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Solution

The fourth proportional to 876.47, 1,209.54 and 483.48 is: 667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,209.54 = 483.48 : x
  2. Step 2: Convert to fraction form
    876.47/1,209.54 = 483.48/x
  3. Step 3: Cross multiply
    876.47x = 1,209.54 × 483.48
  4. Step 4: Simplify right side
    876.47x = 584,788.40
  5. Step 5: Solve for x
    x = 584,788.40/876.47
  6. Step 6: Final answer
    x = 667.21

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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.