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Finding the Fourth Proportional to 970.33, 1,344.71 and 951.87

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Solution

The fourth proportional to 970.33, 1,344.71 and 951.87 is: 1,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.33 : 1,344.71 = 951.87 : x
  2. Step 2: Convert to fraction form
    970.33/1,344.71 = 951.87/x
  3. Step 3: Cross multiply
    970.33x = 1,344.71 × 951.87
  4. Step 4: Simplify right side
    970.33x = 1,279,989.11
  5. Step 5: Solve for x
    x = 1,279,989.11/970.33
  6. Step 6: Final answer
    x = 1,319.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.