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Finding the Fourth Proportional to 665.60, 921.60 and 652.80

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Solution

The fourth proportional to 665.60, 921.60 and 652.80 is: 903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.60 : 921.60 = 652.80 : x
  2. Step 2: Convert to fraction form
    665.60/921.60 = 652.80/x
  3. Step 3: Cross multiply
    665.60x = 921.60 × 652.80
  4. Step 4: Simplify right side
    665.60x = 601,620.48
  5. Step 5: Solve for x
    x = 601,620.48/665.60
  6. Step 6: Final answer
    x = 903.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.