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Finding the Fourth Proportional to 1,348.88, 1,855.88 and 1,053.63

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Solution

The fourth proportional to 1,348.88, 1,855.88 and 1,053.63 is: 1,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.88 : 1,855.88 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    1,348.88/1,855.88 = 1,053.63/x
  3. Step 3: Cross multiply
    1,348.88x = 1,855.88 × 1,053.63
  4. Step 4: Simplify right side
    1,348.88x = 1,955,410.84
  5. Step 5: Solve for x
    x = 1,955,410.84/1,348.88
  6. Step 6: Final answer
    x = 1,449.66

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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.