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Finding the Fourth Proportional to 893.05, 1,339.57 and 870.99

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Solution

The fourth proportional to 893.05, 1,339.57 and 870.99 is: 1,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.05 : 1,339.57 = 870.99 : x
  2. Step 2: Convert to fraction form
    893.05/1,339.57 = 870.99/x
  3. Step 3: Cross multiply
    893.05x = 1,339.57 × 870.99
  4. Step 4: Simplify right side
    893.05x = 1,166,752.16
  5. Step 5: Solve for x
    x = 1,166,752.16/893.05
  6. Step 6: Final answer
    x = 1,306.48

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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.