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Finding the Fourth Proportional to 687.76, 1,031.64 and 297.44

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Solution

The fourth proportional to 687.76, 1,031.64 and 297.44 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.76 : 1,031.64 = 297.44 : x
  2. Step 2: Convert to fraction form
    687.76/1,031.64 = 297.44/x
  3. Step 3: Cross multiply
    687.76x = 1,031.64 × 297.44
  4. Step 4: Simplify right side
    687.76x = 306,848.60
  5. Step 5: Solve for x
    x = 306,848.60/687.76
  6. Step 6: Final answer
    x = 446.16

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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.