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Finding the Fourth Proportional to 862.10, 1,189.50 and 512.84

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Solution

The fourth proportional to 862.10, 1,189.50 and 512.84 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.10 : 1,189.50 = 512.84 : x
  2. Step 2: Convert to fraction form
    862.10/1,189.50 = 512.84/x
  3. Step 3: Cross multiply
    862.10x = 1,189.50 × 512.84
  4. Step 4: Simplify right side
    862.10x = 610,023.18
  5. Step 5: Solve for x
    x = 610,023.18/862.10
  6. Step 6: Final answer
    x = 707.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.