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Finding the Fourth Proportional to 484.61, 665.20 and 440.87

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Solution

The fourth proportional to 484.61, 665.20 and 440.87 is: 605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.61 : 665.20 = 440.87 : x
  2. Step 2: Convert to fraction form
    484.61/665.20 = 440.87/x
  3. Step 3: Cross multiply
    484.61x = 665.20 × 440.87
  4. Step 4: Simplify right side
    484.61x = 293,263.95
  5. Step 5: Solve for x
    x = 293,263.95/484.61
  6. Step 6: Final answer
    x = 605.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.