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Finding the Fourth Proportional to 1,013.63, 1,520.44 and 244.13

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Solution

The fourth proportional to 1,013.63, 1,520.44 and 244.13 is: 366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.63 : 1,520.44 = 244.13 : x
  2. Step 2: Convert to fraction form
    1,013.63/1,520.44 = 244.13/x
  3. Step 3: Cross multiply
    1,013.63x = 1,520.44 × 244.13
  4. Step 4: Simplify right side
    1,013.63x = 371,176.80
  5. Step 5: Solve for x
    x = 371,176.80/1,013.63
  6. Step 6: Final answer
    x = 366.19

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Double scale
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1.5x scale

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.