Home / 1,470.47-2,206.04-430.43

Finding the Fourth Proportional to 1,470.47, 2,206.04 and 430.43

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Solution

The fourth proportional to 1,470.47, 2,206.04 and 430.43 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.47 : 2,206.04 = 430.43 : x
  2. Step 2: Convert to fraction form
    1,470.47/2,206.04 = 430.43/x
  3. Step 3: Cross multiply
    1,470.47x = 2,206.04 × 430.43
  4. Step 4: Simplify right side
    1,470.47x = 949,545.80
  5. Step 5: Solve for x
    x = 949,545.80/1,470.47
  6. Step 6: Final answer
    x = 645.74

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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.