Home / 1,470.31-2,205.36-430.27

Finding the Fourth Proportional to 1,470.31, 2,205.36 and 430.27

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Solution

The fourth proportional to 1,470.31, 2,205.36 and 430.27 is: 645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.31 : 2,205.36 = 430.27 : x
  2. Step 2: Convert to fraction form
    1,470.31/2,205.36 = 430.27/x
  3. Step 3: Cross multiply
    1,470.31x = 2,205.36 × 430.27
  4. Step 4: Simplify right side
    1,470.31x = 948,894.73
  5. Step 5: Solve for x
    x = 948,894.73/1,470.31
  6. Step 6: Final answer
    x = 645.37

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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.