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Finding the Fourth Proportional to 440.90, 665.32 and 424.82

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Solution

The fourth proportional to 440.90, 665.32 and 424.82 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 665.32 = 424.82 : x
  2. Step 2: Convert to fraction form
    440.90/665.32 = 424.82/x
  3. Step 3: Cross multiply
    440.90x = 665.32 × 424.82
  4. Step 4: Simplify right side
    440.90x = 282,639.12
  5. Step 5: Solve for x
    x = 282,639.12/440.90
  6. Step 6: Final answer
    x = 641.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.