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Finding the Fourth Proportional to 657.60, 889.20 and 657.60

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Solution

The fourth proportional to 657.60, 889.20 and 657.60 is: 889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 889.20 = 657.60 : x
  2. Step 2: Convert to fraction form
    657.60/889.20 = 657.60/x
  3. Step 3: Cross multiply
    657.60x = 889.20 × 657.60
  4. Step 4: Simplify right side
    657.60x = 584,737.92
  5. Step 5: Solve for x
    x = 584,737.92/657.60
  6. Step 6: Final answer
    x = 889.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.