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Finding the Fourth Proportional to 677.52, 934.20 and 544.68

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Solution

The fourth proportional to 677.52, 934.20 and 544.68 is: 751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 934.20 = 544.68 : x
  2. Step 2: Convert to fraction form
    677.52/934.20 = 544.68/x
  3. Step 3: Cross multiply
    677.52x = 934.20 × 544.68
  4. Step 4: Simplify right side
    677.52x = 508,840.06
  5. Step 5: Solve for x
    x = 508,840.06/677.52
  6. Step 6: Final answer
    x = 751.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.