Home / 1,013.15-1,519.69-420.11

Finding the Fourth Proportional to 1,013.15, 1,519.69 and 420.11

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Solution

The fourth proportional to 1,013.15, 1,519.69 and 420.11 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.15 : 1,519.69 = 420.11 : x
  2. Step 2: Convert to fraction form
    1,013.15/1,519.69 = 420.11/x
  3. Step 3: Cross multiply
    1,013.15x = 1,519.69 × 420.11
  4. Step 4: Simplify right side
    1,013.15x = 638,428.32
  5. Step 5: Solve for x
    x = 638,428.32/1,013.15
  6. Step 6: Final answer
    x = 630.15

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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.