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Finding the Fourth Proportional to 1,470.78, 2,029.70 and 807.65

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Solution

The fourth proportional to 1,470.78, 2,029.70 and 807.65 is: 1,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.78 : 2,029.70 = 807.65 : x
  2. Step 2: Convert to fraction form
    1,470.78/2,029.70 = 807.65/x
  3. Step 3: Cross multiply
    1,470.78x = 2,029.70 × 807.65
  4. Step 4: Simplify right side
    1,470.78x = 1,639,287.21
  5. Step 5: Solve for x
    x = 1,639,287.21/1,470.78
  6. Step 6: Final answer
    x = 1,114.57

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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.