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Finding the Fourth Proportional to 1,010.14, 1,512.46 and 522.16

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Solution

The fourth proportional to 1,010.14, 1,512.46 and 522.16 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.14 : 1,512.46 = 522.16 : x
  2. Step 2: Convert to fraction form
    1,010.14/1,512.46 = 522.16/x
  3. Step 3: Cross multiply
    1,010.14x = 1,512.46 × 522.16
  4. Step 4: Simplify right side
    1,010.14x = 789,746.11
  5. Step 5: Solve for x
    x = 789,746.11/1,010.14
  6. Step 6: Final answer
    x = 781.82

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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.