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Finding the Fourth Proportional to 643.53, 888.26 and 457.44

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Solution

The fourth proportional to 643.53, 888.26 and 457.44 is: 631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.53 : 888.26 = 457.44 : x
  2. Step 2: Convert to fraction form
    643.53/888.26 = 457.44/x
  3. Step 3: Cross multiply
    643.53x = 888.26 × 457.44
  4. Step 4: Simplify right side
    643.53x = 406,325.65
  5. Step 5: Solve for x
    x = 406,325.65/643.53
  6. Step 6: Final answer
    x = 631.40

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1.5x scale

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.