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Finding the Fourth Proportional to 1,315.77, 1,973.24 and 1,229.50

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Solution

The fourth proportional to 1,315.77, 1,973.24 and 1,229.50 is: 1,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.77 : 1,973.24 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    1,315.77/1,973.24 = 1,229.50/x
  3. Step 3: Cross multiply
    1,315.77x = 1,973.24 × 1,229.50
  4. Step 4: Simplify right side
    1,315.77x = 2,426,098.58
  5. Step 5: Solve for x
    x = 2,426,098.58/1,315.77
  6. Step 6: Final answer
    x = 1,843.86

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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.