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Finding the Fourth Proportional to 628.97, 938.86 and 583.24

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Solution

The fourth proportional to 628.97, 938.86 and 583.24 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.97 : 938.86 = 583.24 : x
  2. Step 2: Convert to fraction form
    628.97/938.86 = 583.24/x
  3. Step 3: Cross multiply
    628.97x = 938.86 × 583.24
  4. Step 4: Simplify right side
    628.97x = 547,577.16
  5. Step 5: Solve for x
    x = 547,577.16/628.97
  6. Step 6: Final answer
    x = 870.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.