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Finding the Fourth Proportional to 868.15, 1,199.55 and 837.01

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Solution

The fourth proportional to 868.15, 1,199.55 and 837.01 is: 1,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.15 : 1,199.55 = 837.01 : x
  2. Step 2: Convert to fraction form
    868.15/1,199.55 = 837.01/x
  3. Step 3: Cross multiply
    868.15x = 1,199.55 × 837.01
  4. Step 4: Simplify right side
    868.15x = 1,004,035.35
  5. Step 5: Solve for x
    x = 1,004,035.35/868.15
  6. Step 6: Final answer
    x = 1,156.52

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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.