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Finding the Fourth Proportional to 677.65, 934.39 and 552.93

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Solution

The fourth proportional to 677.65, 934.39 and 552.93 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.65 : 934.39 = 552.93 : x
  2. Step 2: Convert to fraction form
    677.65/934.39 = 552.93/x
  3. Step 3: Cross multiply
    677.65x = 934.39 × 552.93
  4. Step 4: Simplify right side
    677.65x = 516,644.83
  5. Step 5: Solve for x
    x = 516,644.83/677.65
  6. Step 6: Final answer
    x = 762.41

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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.