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Finding the Fourth Proportional to 1,244.91, 1,718.25 and 975.19

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Solution

The fourth proportional to 1,244.91, 1,718.25 and 975.19 is: 1,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.91 : 1,718.25 = 975.19 : x
  2. Step 2: Convert to fraction form
    1,244.91/1,718.25 = 975.19/x
  3. Step 3: Cross multiply
    1,244.91x = 1,718.25 × 975.19
  4. Step 4: Simplify right side
    1,244.91x = 1,675,620.22
  5. Step 5: Solve for x
    x = 1,675,620.22/1,244.91
  6. Step 6: Final answer
    x = 1,345.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.