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Finding the Fourth Proportional to 881.09, 1,215.78 and 507.93

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Solution

The fourth proportional to 881.09, 1,215.78 and 507.93 is: 700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.09 : 1,215.78 = 507.93 : x
  2. Step 2: Convert to fraction form
    881.09/1,215.78 = 507.93/x
  3. Step 3: Cross multiply
    881.09x = 1,215.78 × 507.93
  4. Step 4: Simplify right side
    881.09x = 617,531.14
  5. Step 5: Solve for x
    x = 617,531.14/881.09
  6. Step 6: Final answer
    x = 700.87

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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.