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Finding the Fourth Proportional to 451.65, 680.34 and 424.32

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Solution

The fourth proportional to 451.65, 680.34 and 424.32 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 680.34 = 424.32 : x
  2. Step 2: Convert to fraction form
    451.65/680.34 = 424.32/x
  3. Step 3: Cross multiply
    451.65x = 680.34 × 424.32
  4. Step 4: Simplify right side
    451.65x = 288,681.87
  5. Step 5: Solve for x
    x = 288,681.87/451.65
  6. Step 6: Final answer
    x = 639.17

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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.