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Finding the Fourth Proportional to 1,247.65, 1,863.58 and 970.86

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Solution

The fourth proportional to 1,247.65, 1,863.58 and 970.86 is: 1,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.65 : 1,863.58 = 970.86 : x
  2. Step 2: Convert to fraction form
    1,247.65/1,863.58 = 970.86/x
  3. Step 3: Cross multiply
    1,247.65x = 1,863.58 × 970.86
  4. Step 4: Simplify right side
    1,247.65x = 1,809,275.28
  5. Step 5: Solve for x
    x = 1,809,275.28/1,247.65
  6. Step 6: Final answer
    x = 1,450.15

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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.