Home / 1,210.13-1,815.29-430.30

Finding the Fourth Proportional to 1,210.13, 1,815.29 and 430.30

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Solution

The fourth proportional to 1,210.13, 1,815.29 and 430.30 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.13 : 1,815.29 = 430.30 : x
  2. Step 2: Convert to fraction form
    1,210.13/1,815.29 = 430.30/x
  3. Step 3: Cross multiply
    1,210.13x = 1,815.29 × 430.30
  4. Step 4: Simplify right side
    1,210.13x = 781,119.29
  5. Step 5: Solve for x
    x = 781,119.29/1,210.13
  6. Step 6: Final answer
    x = 645.48

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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.