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Finding the Fourth Proportional to 1,653, 2,479.50 and 741

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Solution

The fourth proportional to 1,653, 2,479.50 and 741 is: 1,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653 : 2,479.50 = 741 : x
  2. Step 2: Convert to fraction form
    1,653/2,479.50 = 741/x
  3. Step 3: Cross multiply
    1,653x = 2,479.50 × 741
  4. Step 4: Simplify right side
    1,653x = 1,837,309.50
  5. Step 5: Solve for x
    x = 1,837,309.50/1,653
  6. Step 6: Final answer
    x = 1,111.50

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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.