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Finding the Fourth Proportional to 688.99, 1,031.56 and 444.77

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Solution

The fourth proportional to 688.99, 1,031.56 and 444.77 is: 665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.99 : 1,031.56 = 444.77 : x
  2. Step 2: Convert to fraction form
    688.99/1,031.56 = 444.77/x
  3. Step 3: Cross multiply
    688.99x = 1,031.56 × 444.77
  4. Step 4: Simplify right side
    688.99x = 458,808.41
  5. Step 5: Solve for x
    x = 458,808.41/688.99
  6. Step 6: Final answer
    x = 665.92

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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.