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Finding the Fourth Proportional to 544.08, 813.68 and 457.42

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Solution

The fourth proportional to 544.08, 813.68 and 457.42 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.08 : 813.68 = 457.42 : x
  2. Step 2: Convert to fraction form
    544.08/813.68 = 457.42/x
  3. Step 3: Cross multiply
    544.08x = 813.68 × 457.42
  4. Step 4: Simplify right side
    544.08x = 372,193.51
  5. Step 5: Solve for x
    x = 372,193.51/544.08
  6. Step 6: Final answer
    x = 684.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.