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Finding the Fourth Proportional to 970.28, 1,454.66 and 661.37

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Solution

The fourth proportional to 970.28, 1,454.66 and 661.37 is: 991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.28 : 1,454.66 = 661.37 : x
  2. Step 2: Convert to fraction form
    970.28/1,454.66 = 661.37/x
  3. Step 3: Cross multiply
    970.28x = 1,454.66 × 661.37
  4. Step 4: Simplify right side
    970.28x = 962,060.38
  5. Step 5: Solve for x
    x = 962,060.38/970.28
  6. Step 6: Final answer
    x = 991.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.