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Finding the Fourth Proportional to 1,013.38, 1,398.78 and 620.26

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Solution

The fourth proportional to 1,013.38, 1,398.78 and 620.26 is: 856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.38 : 1,398.78 = 620.26 : x
  2. Step 2: Convert to fraction form
    1,013.38/1,398.78 = 620.26/x
  3. Step 3: Cross multiply
    1,013.38x = 1,398.78 × 620.26
  4. Step 4: Simplify right side
    1,013.38x = 867,607.28
  5. Step 5: Solve for x
    x = 867,607.28/1,013.38
  6. Step 6: Final answer
    x = 856.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.