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Finding the Fourth Proportional to 688.48, 1,031.94 and 342.06

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Solution

The fourth proportional to 688.48, 1,031.94 and 342.06 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.48 : 1,031.94 = 342.06 : x
  2. Step 2: Convert to fraction form
    688.48/1,031.94 = 342.06/x
  3. Step 3: Cross multiply
    688.48x = 1,031.94 × 342.06
  4. Step 4: Simplify right side
    688.48x = 352,981.53
  5. Step 5: Solve for x
    x = 352,981.53/688.48
  6. Step 6: Final answer
    x = 512.69

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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.