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Finding the Fourth Proportional to 1,470.92, 2,029.80 and 841.55

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Solution

The fourth proportional to 1,470.92, 2,029.80 and 841.55 is: 1,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.92 : 2,029.80 = 841.55 : x
  2. Step 2: Convert to fraction form
    1,470.92/2,029.80 = 841.55/x
  3. Step 3: Cross multiply
    1,470.92x = 2,029.80 × 841.55
  4. Step 4: Simplify right side
    1,470.92x = 1,708,168.04
  5. Step 5: Solve for x
    x = 1,708,168.04/1,470.92
  6. Step 6: Final answer
    x = 1,161.30

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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.