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Finding the Fourth Proportional to 687.84, 943.40 and 610.08

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Solution

The fourth proportional to 687.84, 943.40 and 610.08 is: 836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 943.40 = 610.08 : x
  2. Step 2: Convert to fraction form
    687.84/943.40 = 610.08/x
  3. Step 3: Cross multiply
    687.84x = 943.40 × 610.08
  4. Step 4: Simplify right side
    687.84x = 575,549.47
  5. Step 5: Solve for x
    x = 575,549.47/687.84
  6. Step 6: Final answer
    x = 836.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.