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Finding the Fourth Proportional to 1,098.57, 1,646.34 and 512.94

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Solution

The fourth proportional to 1,098.57, 1,646.34 and 512.94 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.57 : 1,646.34 = 512.94 : x
  2. Step 2: Convert to fraction form
    1,098.57/1,646.34 = 512.94/x
  3. Step 3: Cross multiply
    1,098.57x = 1,646.34 × 512.94
  4. Step 4: Simplify right side
    1,098.57x = 844,477.89
  5. Step 5: Solve for x
    x = 844,477.89/1,098.57
  6. Step 6: Final answer
    x = 768.70

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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.