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Finding the Fourth Proportional to 972.29, 1,341.20 and 657.50

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Solution

The fourth proportional to 972.29, 1,341.20 and 657.50 is: 906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.29 : 1,341.20 = 657.50 : x
  2. Step 2: Convert to fraction form
    972.29/1,341.20 = 657.50/x
  3. Step 3: Cross multiply
    972.29x = 1,341.20 × 657.50
  4. Step 4: Simplify right side
    972.29x = 881,829.01
  5. Step 5: Solve for x
    x = 881,829.01/972.29
  6. Step 6: Final answer
    x = 906.97

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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.