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Finding the Fourth Proportional to 657.96, 986.32 and 292.80

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Solution

The fourth proportional to 657.96, 986.32 and 292.80 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 986.32 = 292.80 : x
  2. Step 2: Convert to fraction form
    657.96/986.32 = 292.80/x
  3. Step 3: Cross multiply
    657.96x = 986.32 × 292.80
  4. Step 4: Simplify right side
    657.96x = 288,794.50
  5. Step 5: Solve for x
    x = 288,794.50/657.96
  6. Step 6: Final answer
    x = 438.92

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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.