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Finding the Fourth Proportional to 972.67, 1,340.72 and 657.83

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Solution

The fourth proportional to 972.67, 1,340.72 and 657.83 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.67 : 1,340.72 = 657.83 : x
  2. Step 2: Convert to fraction form
    972.67/1,340.72 = 657.83/x
  3. Step 3: Cross multiply
    972.67x = 1,340.72 × 657.83
  4. Step 4: Simplify right side
    972.67x = 881,965.84
  5. Step 5: Solve for x
    x = 881,965.84/972.67
  6. Step 6: Final answer
    x = 906.75

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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.