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Finding the Fourth Proportional to 1,000.16, 1,497.48 and 512.16

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Solution

The fourth proportional to 1,000.16, 1,497.48 and 512.16 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.16 : 1,497.48 = 512.16 : x
  2. Step 2: Convert to fraction form
    1,000.16/1,497.48 = 512.16/x
  3. Step 3: Cross multiply
    1,000.16x = 1,497.48 × 512.16
  4. Step 4: Simplify right side
    1,000.16x = 766,949.36
  5. Step 5: Solve for x
    x = 766,949.36/1,000.16
  6. Step 6: Final answer
    x = 766.83

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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.