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Finding the Fourth Proportional to 1,262.70, 1,891.88 and 975.42

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Solution

The fourth proportional to 1,262.70, 1,891.88 and 975.42 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.70 : 1,891.88 = 975.42 : x
  2. Step 2: Convert to fraction form
    1,262.70/1,891.88 = 975.42/x
  3. Step 3: Cross multiply
    1,262.70x = 1,891.88 × 975.42
  4. Step 4: Simplify right side
    1,262.70x = 1,845,377.59
  5. Step 5: Solve for x
    x = 1,845,377.59/1,262.70
  6. Step 6: Final answer
    x = 1,461.45

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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.