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Finding the Fourth Proportional to 880.11, 1,216.15 and 837.40

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Solution

The fourth proportional to 880.11, 1,216.15 and 837.40 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.11 : 1,216.15 = 837.40 : x
  2. Step 2: Convert to fraction form
    880.11/1,216.15 = 837.40/x
  3. Step 3: Cross multiply
    880.11x = 1,216.15 × 837.40
  4. Step 4: Simplify right side
    880.11x = 1,018,401.92
  5. Step 5: Solve for x
    x = 1,018,401.92/880.11
  6. Step 6: Final answer
    x = 1,157.14

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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.