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Finding the Fourth Proportional to 506.76, 699.33 and 285.69

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Solution

The fourth proportional to 506.76, 699.33 and 285.69 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 699.33 = 285.69 : x
  2. Step 2: Convert to fraction form
    506.76/699.33 = 285.69/x
  3. Step 3: Cross multiply
    506.76x = 699.33 × 285.69
  4. Step 4: Simplify right side
    506.76x = 199,791.59
  5. Step 5: Solve for x
    x = 199,791.59/506.76
  6. Step 6: Final answer
    x = 394.25

Related Problems

Find fourth proportional to 253.38, 349.67 and 142.85
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Double scale
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Similar ratio
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1.5x scale

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.