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Finding the Fourth Proportional to 572.48, 856.67 and 495.71

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Solution

The fourth proportional to 572.48, 856.67 and 495.71 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 856.67 = 495.71 : x
  2. Step 2: Convert to fraction form
    572.48/856.67 = 495.71/x
  3. Step 3: Cross multiply
    572.48x = 856.67 × 495.71
  4. Step 4: Simplify right side
    572.48x = 424,653.12
  5. Step 5: Solve for x
    x = 424,653.12/572.48
  6. Step 6: Final answer
    x = 741.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.