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Finding the Fourth Proportional to 574.12, 856.88 and 495.68

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Solution

The fourth proportional to 574.12, 856.88 and 495.68 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 856.88 = 495.68 : x
  2. Step 2: Convert to fraction form
    574.12/856.88 = 495.68/x
  3. Step 3: Cross multiply
    574.12x = 856.88 × 495.68
  4. Step 4: Simplify right side
    574.12x = 424,741.66
  5. Step 5: Solve for x
    x = 424,741.66/574.12
  6. Step 6: Final answer
    x = 739.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.