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Finding the Fourth Proportional to 544.48, 813.44 and 434.08

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Solution

The fourth proportional to 544.48, 813.44 and 434.08 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.48 : 813.44 = 434.08 : x
  2. Step 2: Convert to fraction form
    544.48/813.44 = 434.08/x
  3. Step 3: Cross multiply
    544.48x = 813.44 × 434.08
  4. Step 4: Simplify right side
    544.48x = 353,098.04
  5. Step 5: Solve for x
    x = 353,098.04/544.48
  6. Step 6: Final answer
    x = 648.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.