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Finding the Fourth Proportional to 1,327.22, 1,830.76 and 954.70

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Solution

The fourth proportional to 1,327.22, 1,830.76 and 954.70 is: 1,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.22 : 1,830.76 = 954.70 : x
  2. Step 2: Convert to fraction form
    1,327.22/1,830.76 = 954.70/x
  3. Step 3: Cross multiply
    1,327.22x = 1,830.76 × 954.70
  4. Step 4: Simplify right side
    1,327.22x = 1,747,826.57
  5. Step 5: Solve for x
    x = 1,747,826.57/1,327.22
  6. Step 6: Final answer
    x = 1,316.91

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1.5x scale

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.