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Finding the Fourth Proportional to 522.81, 721.47 and 286.75

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Solution

The fourth proportional to 522.81, 721.47 and 286.75 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.81 : 721.47 = 286.75 : x
  2. Step 2: Convert to fraction form
    522.81/721.47 = 286.75/x
  3. Step 3: Cross multiply
    522.81x = 721.47 × 286.75
  4. Step 4: Simplify right side
    522.81x = 206,881.52
  5. Step 5: Solve for x
    x = 206,881.52/522.81
  6. Step 6: Final answer
    x = 395.71

Related Problems

Find fourth proportional to 261.41, 360.74 and 143.38
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Double scale
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Similar ratio
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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.