Home / 1,470.12-2,205.14-430.17

Finding the Fourth Proportional to 1,470.12, 2,205.14 and 430.17

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Solution

The fourth proportional to 1,470.12, 2,205.14 and 430.17 is: 645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.12 : 2,205.14 = 430.17 : x
  2. Step 2: Convert to fraction form
    1,470.12/2,205.14 = 430.17/x
  3. Step 3: Cross multiply
    1,470.12x = 2,205.14 × 430.17
  4. Step 4: Simplify right side
    1,470.12x = 948,582.92
  5. Step 5: Solve for x
    x = 948,582.92/1,470.12
  6. Step 6: Final answer
    x = 645.24

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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.