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Finding the Fourth Proportional to 657.60, 988.16 and 349.68

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Solution

The fourth proportional to 657.60, 988.16 and 349.68 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 988.16 = 349.68 : x
  2. Step 2: Convert to fraction form
    657.60/988.16 = 349.68/x
  3. Step 3: Cross multiply
    657.60x = 988.16 × 349.68
  4. Step 4: Simplify right side
    657.60x = 345,539.79
  5. Step 5: Solve for x
    x = 345,539.79/657.60
  6. Step 6: Final answer
    x = 525.46

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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.