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Finding the Fourth Proportional to 999.78, 1,500.61 and 513.17

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Solution

The fourth proportional to 999.78, 1,500.61 and 513.17 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.78 : 1,500.61 = 513.17 : x
  2. Step 2: Convert to fraction form
    999.78/1,500.61 = 513.17/x
  3. Step 3: Cross multiply
    999.78x = 1,500.61 × 513.17
  4. Step 4: Simplify right side
    999.78x = 770,068.03
  5. Step 5: Solve for x
    x = 770,068.03/999.78
  6. Step 6: Final answer
    x = 770.24

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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.