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Finding the Fourth Proportional to 970.78, 1,454.35 and 861.43

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Solution

The fourth proportional to 970.78, 1,454.35 and 861.43 is: 1,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.78 : 1,454.35 = 861.43 : x
  2. Step 2: Convert to fraction form
    970.78/1,454.35 = 861.43/x
  3. Step 3: Cross multiply
    970.78x = 1,454.35 × 861.43
  4. Step 4: Simplify right side
    970.78x = 1,252,820.72
  5. Step 5: Solve for x
    x = 1,252,820.72/970.78
  6. Step 6: Final answer
    x = 1,290.53

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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.