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Finding the Fourth Proportional to 698.11, 1,041.51 and 645.82

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Solution

The fourth proportional to 698.11, 1,041.51 and 645.82 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.11 : 1,041.51 = 645.82 : x
  2. Step 2: Convert to fraction form
    698.11/1,041.51 = 645.82/x
  3. Step 3: Cross multiply
    698.11x = 1,041.51 × 645.82
  4. Step 4: Simplify right side
    698.11x = 672,627.99
  5. Step 5: Solve for x
    x = 672,627.99/698.11
  6. Step 6: Final answer
    x = 963.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.