Home / 1,318.92-1,977.71-702.96

Finding the Fourth Proportional to 1,318.92, 1,977.71 and 702.96

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Solution

The fourth proportional to 1,318.92, 1,977.71 and 702.96 is: 1,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.92 : 1,977.71 = 702.96 : x
  2. Step 2: Convert to fraction form
    1,318.92/1,977.71 = 702.96/x
  3. Step 3: Cross multiply
    1,318.92x = 1,977.71 × 702.96
  4. Step 4: Simplify right side
    1,318.92x = 1,390,247.51
  5. Step 5: Solve for x
    x = 1,390,247.51/1,318.92
  6. Step 6: Final answer
    x = 1,054.08

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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.