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Finding the Fourth Proportional to 954.12, 1,315.27 and 820.74

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Solution

The fourth proportional to 954.12, 1,315.27 and 820.74 is: 1,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.12 : 1,315.27 = 820.74 : x
  2. Step 2: Convert to fraction form
    954.12/1,315.27 = 820.74/x
  3. Step 3: Cross multiply
    954.12x = 1,315.27 × 820.74
  4. Step 4: Simplify right side
    954.12x = 1,079,494.70
  5. Step 5: Solve for x
    x = 1,079,494.70/954.12
  6. Step 6: Final answer
    x = 1,131.40

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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.