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Finding the Fourth Proportional to 1,014.07, 1,520.92 and 283.48

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Solution

The fourth proportional to 1,014.07, 1,520.92 and 283.48 is: 425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.07 : 1,520.92 = 283.48 : x
  2. Step 2: Convert to fraction form
    1,014.07/1,520.92 = 283.48/x
  3. Step 3: Cross multiply
    1,014.07x = 1,520.92 × 283.48
  4. Step 4: Simplify right side
    1,014.07x = 431,150.40
  5. Step 5: Solve for x
    x = 431,150.40/1,014.07
  6. Step 6: Final answer
    x = 425.17

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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.