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Finding the Fourth Proportional to 504.38, 696.05 and 307.85

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Solution

The fourth proportional to 504.38, 696.05 and 307.85 is: 424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 696.05 = 307.85 : x
  2. Step 2: Convert to fraction form
    504.38/696.05 = 307.85/x
  3. Step 3: Cross multiply
    504.38x = 696.05 × 307.85
  4. Step 4: Simplify right side
    504.38x = 214,273.97
  5. Step 5: Solve for x
    x = 214,273.97/504.38
  6. Step 6: Final answer
    x = 424.83

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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.