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Finding the Fourth Proportional to 500.57, 690.76 and 334.76

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Solution

The fourth proportional to 500.57, 690.76 and 334.76 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.57 : 690.76 = 334.76 : x
  2. Step 2: Convert to fraction form
    500.57/690.76 = 334.76/x
  3. Step 3: Cross multiply
    500.57x = 690.76 × 334.76
  4. Step 4: Simplify right side
    500.57x = 231,235.78
  5. Step 5: Solve for x
    x = 231,235.78/500.57
  6. Step 6: Final answer
    x = 461.95

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Find fourth proportional to 250.28, 345.38 and 167.38
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Double scale
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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.