Home / 1,470.18-2,204.46-647.49

Finding the Fourth Proportional to 1,470.18, 2,204.46 and 647.49

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Solution

The fourth proportional to 1,470.18, 2,204.46 and 647.49 is: 970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.18 : 2,204.46 = 647.49 : x
  2. Step 2: Convert to fraction form
    1,470.18/2,204.46 = 647.49/x
  3. Step 3: Cross multiply
    1,470.18x = 2,204.46 × 647.49
  4. Step 4: Simplify right side
    1,470.18x = 1,427,365.81
  5. Step 5: Solve for x
    x = 1,427,365.81/1,470.18
  6. Step 6: Final answer
    x = 970.88

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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.