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Finding the Fourth Proportional to 1,470.36, 2,029.04 and 840.88

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Solution

The fourth proportional to 1,470.36, 2,029.04 and 840.88 is: 1,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.36 : 2,029.04 = 840.88 : x
  2. Step 2: Convert to fraction form
    1,470.36/2,029.04 = 840.88/x
  3. Step 3: Cross multiply
    1,470.36x = 2,029.04 × 840.88
  4. Step 4: Simplify right side
    1,470.36x = 1,706,179.16
  5. Step 5: Solve for x
    x = 1,706,179.16/1,470.36
  6. Step 6: Final answer
    x = 1,160.38

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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.