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Finding the Fourth Proportional to 1,470.52, 2,029.62 and 841.02

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Solution

The fourth proportional to 1,470.52, 2,029.62 and 841.02 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.52 : 2,029.62 = 841.02 : x
  2. Step 2: Convert to fraction form
    1,470.52/2,029.62 = 841.02/x
  3. Step 3: Cross multiply
    1,470.52x = 2,029.62 × 841.02
  4. Step 4: Simplify right side
    1,470.52x = 1,706,951.01
  5. Step 5: Solve for x
    x = 1,706,951.01/1,470.52
  6. Step 6: Final answer
    x = 1,160.78

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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.