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Finding the Fourth Proportional to 657.59, 990.36 and 581.31

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Solution

The fourth proportional to 657.59, 990.36 and 581.31 is: 875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.59 : 990.36 = 581.31 : x
  2. Step 2: Convert to fraction form
    657.59/990.36 = 581.31/x
  3. Step 3: Cross multiply
    657.59x = 990.36 × 581.31
  4. Step 4: Simplify right side
    657.59x = 575,706.17
  5. Step 5: Solve for x
    x = 575,706.17/657.59
  6. Step 6: Final answer
    x = 875.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.