Home / 1,470.19-2,204.85-648.25

Finding the Fourth Proportional to 1,470.19, 2,204.85 and 648.25

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Solution

The fourth proportional to 1,470.19, 2,204.85 and 648.25 is: 972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.19 : 2,204.85 = 648.25 : x
  2. Step 2: Convert to fraction form
    1,470.19/2,204.85 = 648.25/x
  3. Step 3: Cross multiply
    1,470.19x = 2,204.85 × 648.25
  4. Step 4: Simplify right side
    1,470.19x = 1,429,294.01
  5. Step 5: Solve for x
    x = 1,429,294.01/1,470.19
  6. Step 6: Final answer
    x = 972.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.