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Finding the Fourth Proportional to 876.74, 1,313.28 and 414.89

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Solution

The fourth proportional to 876.74, 1,313.28 and 414.89 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.74 : 1,313.28 = 414.89 : x
  2. Step 2: Convert to fraction form
    876.74/1,313.28 = 414.89/x
  3. Step 3: Cross multiply
    876.74x = 1,313.28 × 414.89
  4. Step 4: Simplify right side
    876.74x = 544,863.15
  5. Step 5: Solve for x
    x = 544,863.15/876.74
  6. Step 6: Final answer
    x = 621.47

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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.