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Finding the Fourth Proportional to 574.08, 790.42 and 506.71

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Solution

The fourth proportional to 574.08, 790.42 and 506.71 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 790.42 = 506.71 : x
  2. Step 2: Convert to fraction form
    574.08/790.42 = 506.71/x
  3. Step 3: Cross multiply
    574.08x = 790.42 × 506.71
  4. Step 4: Simplify right side
    574.08x = 400,513.72
  5. Step 5: Solve for x
    x = 400,513.72/574.08
  6. Step 6: Final answer
    x = 697.66

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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.