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Finding the Fourth Proportional to 695.50, 1,041.99 and 511.90

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Solution

The fourth proportional to 695.50, 1,041.99 and 511.90 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.50 : 1,041.99 = 511.90 : x
  2. Step 2: Convert to fraction form
    695.50/1,041.99 = 511.90/x
  3. Step 3: Cross multiply
    695.50x = 1,041.99 × 511.90
  4. Step 4: Simplify right side
    695.50x = 533,394.68
  5. Step 5: Solve for x
    x = 533,394.68/695.50
  6. Step 6: Final answer
    x = 766.92

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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.