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Finding the Fourth Proportional to 891, 1,330.56 and 870.75

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Solution

The fourth proportional to 891, 1,330.56 and 870.75 is: 1,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    891 : 1,330.56 = 870.75 : x
  2. Step 2: Convert to fraction form
    891/1,330.56 = 870.75/x
  3. Step 3: Cross multiply
    891x = 1,330.56 × 870.75
  4. Step 4: Simplify right side
    891x = 1,158,585.12
  5. Step 5: Solve for x
    x = 1,158,585.12/891
  6. Step 6: Final answer
    x = 1,300.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.