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Finding the Fourth Proportional to 1,732.94, 2,391.45 and 946.98

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Solution

The fourth proportional to 1,732.94, 2,391.45 and 946.98 is: 1,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.94 : 2,391.45 = 946.98 : x
  2. Step 2: Convert to fraction form
    1,732.94/2,391.45 = 946.98/x
  3. Step 3: Cross multiply
    1,732.94x = 2,391.45 × 946.98
  4. Step 4: Simplify right side
    1,732.94x = 2,264,655.32
  5. Step 5: Solve for x
    x = 2,264,655.32/1,732.94
  6. Step 6: Final answer
    x = 1,306.83

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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.