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Finding the Fourth Proportional to 507.78, 700.74 and 286.74

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Solution

The fourth proportional to 507.78, 700.74 and 286.74 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 700.74 = 286.74 : x
  2. Step 2: Convert to fraction form
    507.78/700.74 = 286.74/x
  3. Step 3: Cross multiply
    507.78x = 700.74 × 286.74
  4. Step 4: Simplify right side
    507.78x = 200,930.19
  5. Step 5: Solve for x
    x = 200,930.19/507.78
  6. Step 6: Final answer
    x = 395.70

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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.