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Finding the Fourth Proportional to 657.80, 986.40 and 349.58

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Solution

The fourth proportional to 657.80, 986.40 and 349.58 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 986.40 = 349.58 : x
  2. Step 2: Convert to fraction form
    657.80/986.40 = 349.58/x
  3. Step 3: Cross multiply
    657.80x = 986.40 × 349.58
  4. Step 4: Simplify right side
    657.80x = 344,829.16
  5. Step 5: Solve for x
    x = 344,829.16/657.80
  6. Step 6: Final answer
    x = 524.22

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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.