Home / 1,005.32-1,508.25-420.14

Finding the Fourth Proportional to 1,005.32, 1,508.25 and 420.14

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Solution

The fourth proportional to 1,005.32, 1,508.25 and 420.14 is: 630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.32 : 1,508.25 = 420.14 : x
  2. Step 2: Convert to fraction form
    1,005.32/1,508.25 = 420.14/x
  3. Step 3: Cross multiply
    1,005.32x = 1,508.25 × 420.14
  4. Step 4: Simplify right side
    1,005.32x = 633,668.61
  5. Step 5: Solve for x
    x = 633,668.61/1,005.32
  6. Step 6: Final answer
    x = 630.31

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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.