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Finding the Fourth Proportional to 855.13, 1,281.39 and 507.78

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Solution

The fourth proportional to 855.13, 1,281.39 and 507.78 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.13 : 1,281.39 = 507.78 : x
  2. Step 2: Convert to fraction form
    855.13/1,281.39 = 507.78/x
  3. Step 3: Cross multiply
    855.13x = 1,281.39 × 507.78
  4. Step 4: Simplify right side
    855.13x = 650,664.21
  5. Step 5: Solve for x
    x = 650,664.21/855.13
  6. Step 6: Final answer
    x = 760.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.