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Finding the Fourth Proportional to 643.50, 888.30 and 457.02

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Solution

The fourth proportional to 643.50, 888.30 and 457.02 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 888.30 = 457.02 : x
  2. Step 2: Convert to fraction form
    643.50/888.30 = 457.02/x
  3. Step 3: Cross multiply
    643.50x = 888.30 × 457.02
  4. Step 4: Simplify right side
    643.50x = 405,970.87
  5. Step 5: Solve for x
    x = 405,970.87/643.50
  6. Step 6: Final answer
    x = 630.88

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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.