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Finding the Fourth Proportional to 507.59, 700.42 and 286.57

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Solution

The fourth proportional to 507.59, 700.42 and 286.57 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.59 : 700.42 = 286.57 : x
  2. Step 2: Convert to fraction form
    507.59/700.42 = 286.57/x
  3. Step 3: Cross multiply
    507.59x = 700.42 × 286.57
  4. Step 4: Simplify right side
    507.59x = 200,719.36
  5. Step 5: Solve for x
    x = 200,719.36/507.59
  6. Step 6: Final answer
    x = 395.44

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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.