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Finding the Fourth Proportional to 2,332.40, 3,497.78 and 688.52

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Solution

The fourth proportional to 2,332.40, 3,497.78 and 688.52 is: 1,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.40 : 3,497.78 = 688.52 : x
  2. Step 2: Convert to fraction form
    2,332.40/3,497.78 = 688.52/x
  3. Step 3: Cross multiply
    2,332.40x = 3,497.78 × 688.52
  4. Step 4: Simplify right side
    2,332.40x = 2,408,291.49
  5. Step 5: Solve for x
    x = 2,408,291.49/2,332.40
  6. Step 6: Final answer
    x = 1,032.54

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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.