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Finding the Fourth Proportional to 574.94, 865.67 and 506.90

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Solution

The fourth proportional to 574.94, 865.67 and 506.90 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.94 : 865.67 = 506.90 : x
  2. Step 2: Convert to fraction form
    574.94/865.67 = 506.90/x
  3. Step 3: Cross multiply
    574.94x = 865.67 × 506.90
  4. Step 4: Simplify right side
    574.94x = 438,808.12
  5. Step 5: Solve for x
    x = 438,808.12/574.94
  6. Step 6: Final answer
    x = 763.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.