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Finding the Fourth Proportional to 972.48, 1,340.46 and 657.65

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Solution

The fourth proportional to 972.48, 1,340.46 and 657.65 is: 906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,340.46 = 657.65 : x
  2. Step 2: Convert to fraction form
    972.48/1,340.46 = 657.65/x
  3. Step 3: Cross multiply
    972.48x = 1,340.46 × 657.65
  4. Step 4: Simplify right side
    972.48x = 881,553.52
  5. Step 5: Solve for x
    x = 881,553.52/972.48
  6. Step 6: Final answer
    x = 906.50

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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.