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Finding the Fourth Proportional to 870.65, 1,198.68 and 705.41

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Solution

The fourth proportional to 870.65, 1,198.68 and 705.41 is: 971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.65 : 1,198.68 = 705.41 : x
  2. Step 2: Convert to fraction form
    870.65/1,198.68 = 705.41/x
  3. Step 3: Cross multiply
    870.65x = 1,198.68 × 705.41
  4. Step 4: Simplify right side
    870.65x = 845,554.87
  5. Step 5: Solve for x
    x = 845,554.87/870.65
  6. Step 6: Final answer
    x = 971.18

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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.