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Finding the Fourth Proportional to 460.27, 688.65 and 404.98

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Solution

The fourth proportional to 460.27, 688.65 and 404.98 is: 605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 688.65 = 404.98 : x
  2. Step 2: Convert to fraction form
    460.27/688.65 = 404.98/x
  3. Step 3: Cross multiply
    460.27x = 688.65 × 404.98
  4. Step 4: Simplify right side
    460.27x = 278,889.48
  5. Step 5: Solve for x
    x = 278,889.48/460.27
  6. Step 6: Final answer
    x = 605.93

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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.