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Finding the Fourth Proportional to 688.21, 1,031.77 and 493.06

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Solution

The fourth proportional to 688.21, 1,031.77 and 493.06 is: 739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.21 : 1,031.77 = 493.06 : x
  2. Step 2: Convert to fraction form
    688.21/1,031.77 = 493.06/x
  3. Step 3: Cross multiply
    688.21x = 1,031.77 × 493.06
  4. Step 4: Simplify right side
    688.21x = 508,724.52
  5. Step 5: Solve for x
    x = 508,724.52/688.21
  6. Step 6: Final answer
    x = 739.20

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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.