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Finding the Fourth Proportional to 657.97, 987.29 and 293.02

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Solution

The fourth proportional to 657.97, 987.29 and 293.02 is: 439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.97 : 987.29 = 293.02 : x
  2. Step 2: Convert to fraction form
    657.97/987.29 = 293.02/x
  3. Step 3: Cross multiply
    657.97x = 987.29 × 293.02
  4. Step 4: Simplify right side
    657.97x = 289,289.31
  5. Step 5: Solve for x
    x = 289,289.31/657.97
  6. Step 6: Final answer
    x = 439.67

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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.