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Finding the Fourth Proportional to 970.22, 1,447.28 and 877.88

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Solution

The fourth proportional to 970.22, 1,447.28 and 877.88 is: 1,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.22 : 1,447.28 = 877.88 : x
  2. Step 2: Convert to fraction form
    970.22/1,447.28 = 877.88/x
  3. Step 3: Cross multiply
    970.22x = 1,447.28 × 877.88
  4. Step 4: Simplify right side
    970.22x = 1,270,538.17
  5. Step 5: Solve for x
    x = 1,270,538.17/970.22
  6. Step 6: Final answer
    x = 1,309.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.