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Finding the Fourth Proportional to 688.02, 1,031.19 and 297.91

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Solution

The fourth proportional to 688.02, 1,031.19 and 297.91 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.02 : 1,031.19 = 297.91 : x
  2. Step 2: Convert to fraction form
    688.02/1,031.19 = 297.91/x
  3. Step 3: Cross multiply
    688.02x = 1,031.19 × 297.91
  4. Step 4: Simplify right side
    688.02x = 307,201.81
  5. Step 5: Solve for x
    x = 307,201.81/688.02
  6. Step 6: Final answer
    x = 446.50

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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.