Home / 1,470.23-2,204.90-430.31

Finding the Fourth Proportional to 1,470.23, 2,204.90 and 430.31

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Solution

The fourth proportional to 1,470.23, 2,204.90 and 430.31 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.23 : 2,204.90 = 430.31 : x
  2. Step 2: Convert to fraction form
    1,470.23/2,204.90 = 430.31/x
  3. Step 3: Cross multiply
    1,470.23x = 2,204.90 × 430.31
  4. Step 4: Simplify right side
    1,470.23x = 948,788.37
  5. Step 5: Solve for x
    x = 948,788.37/1,470.23
  6. Step 6: Final answer
    x = 645.33

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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.