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Finding the Fourth Proportional to 688.21, 1,031.64 and 444.91

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Solution

The fourth proportional to 688.21, 1,031.64 and 444.91 is: 666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.21 : 1,031.64 = 444.91 : x
  2. Step 2: Convert to fraction form
    688.21/1,031.64 = 444.91/x
  3. Step 3: Cross multiply
    688.21x = 1,031.64 × 444.91
  4. Step 4: Simplify right side
    688.21x = 458,986.95
  5. Step 5: Solve for x
    x = 458,986.95/688.21
  6. Step 6: Final answer
    x = 666.93

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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.