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Finding the Fourth Proportional to 1,029.84, 1,537.86 and 900.24

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Solution

The fourth proportional to 1,029.84, 1,537.86 and 900.24 is: 1,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.84 : 1,537.86 = 900.24 : x
  2. Step 2: Convert to fraction form
    1,029.84/1,537.86 = 900.24/x
  3. Step 3: Cross multiply
    1,029.84x = 1,537.86 × 900.24
  4. Step 4: Simplify right side
    1,029.84x = 1,384,443.09
  5. Step 5: Solve for x
    x = 1,384,443.09/1,029.84
  6. Step 6: Final answer
    x = 1,344.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.