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Finding the Fourth Proportional to 873.47, 1,204.14 and 624.70

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Solution

The fourth proportional to 873.47, 1,204.14 and 624.70 is: 861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.47 : 1,204.14 = 624.70 : x
  2. Step 2: Convert to fraction form
    873.47/1,204.14 = 624.70/x
  3. Step 3: Cross multiply
    873.47x = 1,204.14 × 624.70
  4. Step 4: Simplify right side
    873.47x = 752,226.26
  5. Step 5: Solve for x
    x = 752,226.26/873.47
  6. Step 6: Final answer
    x = 861.19

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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.