Home / 1,318.34-1,977.93-702.02

Finding the Fourth Proportional to 1,318.34, 1,977.93 and 702.02

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Solution

The fourth proportional to 1,318.34, 1,977.93 and 702.02 is: 1,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.34 : 1,977.93 = 702.02 : x
  2. Step 2: Convert to fraction form
    1,318.34/1,977.93 = 702.02/x
  3. Step 3: Cross multiply
    1,318.34x = 1,977.93 × 702.02
  4. Step 4: Simplify right side
    1,318.34x = 1,388,546.42
  5. Step 5: Solve for x
    x = 1,388,546.42/1,318.34
  6. Step 6: Final answer
    x = 1,053.25

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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.