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Finding the Fourth Proportional to 975.87, 1,454.54 and 949.91

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Solution

The fourth proportional to 975.87, 1,454.54 and 949.91 is: 1,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.87 : 1,454.54 = 949.91 : x
  2. Step 2: Convert to fraction form
    975.87/1,454.54 = 949.91/x
  3. Step 3: Cross multiply
    975.87x = 1,454.54 × 949.91
  4. Step 4: Simplify right side
    975.87x = 1,381,670.07
  5. Step 5: Solve for x
    x = 1,381,670.07/975.87
  6. Step 6: Final answer
    x = 1,415.83

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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.