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Finding the Fourth Proportional to 1,013.67, 1,520.29 and 283.05

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Solution

The fourth proportional to 1,013.67, 1,520.29 and 283.05 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.67 : 1,520.29 = 283.05 : x
  2. Step 2: Convert to fraction form
    1,013.67/1,520.29 = 283.05/x
  3. Step 3: Cross multiply
    1,013.67x = 1,520.29 × 283.05
  4. Step 4: Simplify right side
    1,013.67x = 430,318.08
  5. Step 5: Solve for x
    x = 430,318.08/1,013.67
  6. Step 6: Final answer
    x = 424.51

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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.