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Finding the Fourth Proportional to 643.48, 888.10 and 423.08

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Solution

The fourth proportional to 643.48, 888.10 and 423.08 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 888.10 = 423.08 : x
  2. Step 2: Convert to fraction form
    643.48/888.10 = 423.08/x
  3. Step 3: Cross multiply
    643.48x = 888.10 × 423.08
  4. Step 4: Simplify right side
    643.48x = 375,737.35
  5. Step 5: Solve for x
    x = 375,737.35/643.48
  6. Step 6: Final answer
    x = 583.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.