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Finding the Fourth Proportional to 1,318.46, 1,973.39 and 971.65

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Solution

The fourth proportional to 1,318.46, 1,973.39 and 971.65 is: 1,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.46 : 1,973.39 = 971.65 : x
  2. Step 2: Convert to fraction form
    1,318.46/1,973.39 = 971.65/x
  3. Step 3: Cross multiply
    1,318.46x = 1,973.39 × 971.65
  4. Step 4: Simplify right side
    1,318.46x = 1,917,444.39
  5. Step 5: Solve for x
    x = 1,917,444.39/1,318.46
  6. Step 6: Final answer
    x = 1,454.31

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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.