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Finding the Fourth Proportional to 1,013.86, 1,520.94 and 320.29

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Solution

The fourth proportional to 1,013.86, 1,520.94 and 320.29 is: 480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.86 : 1,520.94 = 320.29 : x
  2. Step 2: Convert to fraction form
    1,013.86/1,520.94 = 320.29/x
  3. Step 3: Cross multiply
    1,013.86x = 1,520.94 × 320.29
  4. Step 4: Simplify right side
    1,013.86x = 487,146.02
  5. Step 5: Solve for x
    x = 487,146.02/1,013.86
  6. Step 6: Final answer
    x = 480.49

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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.