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Finding the Fourth Proportional to 544.73, 751.88 and 434.16

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Solution

The fourth proportional to 544.73, 751.88 and 434.16 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.73 : 751.88 = 434.16 : x
  2. Step 2: Convert to fraction form
    544.73/751.88 = 434.16/x
  3. Step 3: Cross multiply
    544.73x = 751.88 × 434.16
  4. Step 4: Simplify right side
    544.73x = 326,437.31
  5. Step 5: Solve for x
    x = 326,437.31/544.73
  6. Step 6: Final answer
    x = 599.27

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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.