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Finding the Fourth Proportional to 688.37, 1,031.78 and 414.65

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Solution

The fourth proportional to 688.37, 1,031.78 and 414.65 is: 621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.37 : 1,031.78 = 414.65 : x
  2. Step 2: Convert to fraction form
    688.37/1,031.78 = 414.65/x
  3. Step 3: Cross multiply
    688.37x = 1,031.78 × 414.65
  4. Step 4: Simplify right side
    688.37x = 427,827.58
  5. Step 5: Solve for x
    x = 427,827.58/688.37
  6. Step 6: Final answer
    x = 621.51

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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.