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Finding the Fourth Proportional to 511.35, 703.87 and 363.75

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Solution

The fourth proportional to 511.35, 703.87 and 363.75 is: 500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.35 : 703.87 = 363.75 : x
  2. Step 2: Convert to fraction form
    511.35/703.87 = 363.75/x
  3. Step 3: Cross multiply
    511.35x = 703.87 × 363.75
  4. Step 4: Simplify right side
    511.35x = 256,032.71
  5. Step 5: Solve for x
    x = 256,032.71/511.35
  6. Step 6: Final answer
    x = 500.70

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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.