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Finding the Fourth Proportional to 979.98, 1,462.40 and 870.90

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Solution

The fourth proportional to 979.98, 1,462.40 and 870.90 is: 1,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.98 : 1,462.40 = 870.90 : x
  2. Step 2: Convert to fraction form
    979.98/1,462.40 = 870.90/x
  3. Step 3: Cross multiply
    979.98x = 1,462.40 × 870.90
  4. Step 4: Simplify right side
    979.98x = 1,273,599.81
  5. Step 5: Solve for x
    x = 1,273,599.81/979.98
  6. Step 6: Final answer
    x = 1,299.62

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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.