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Finding the Fourth Proportional to 657.20, 986.09 and 292.10

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Solution

The fourth proportional to 657.20, 986.09 and 292.10 is: 438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 986.09 = 292.10 : x
  2. Step 2: Convert to fraction form
    657.20/986.09 = 292.10/x
  3. Step 3: Cross multiply
    657.20x = 986.09 × 292.10
  4. Step 4: Simplify right side
    657.20x = 288,030.50
  5. Step 5: Solve for x
    x = 288,030.50/657.20
  6. Step 6: Final answer
    x = 438.27

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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.