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Finding the Fourth Proportional to 690.81, 1,041.09 and 649.77

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Solution

The fourth proportional to 690.81, 1,041.09 and 649.77 is: 979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 1,041.09 = 649.77 : x
  2. Step 2: Convert to fraction form
    690.81/1,041.09 = 649.77/x
  3. Step 3: Cross multiply
    690.81x = 1,041.09 × 649.77
  4. Step 4: Simplify right side
    690.81x = 676,469.05
  5. Step 5: Solve for x
    x = 676,469.05/690.81
  6. Step 6: Final answer
    x = 979.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.