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Finding the Fourth Proportional to 1,535.93, 2,304.23 and 548.80

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Solution

The fourth proportional to 1,535.93, 2,304.23 and 548.80 is: 823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.93 : 2,304.23 = 548.80 : x
  2. Step 2: Convert to fraction form
    1,535.93/2,304.23 = 548.80/x
  3. Step 3: Cross multiply
    1,535.93x = 2,304.23 × 548.80
  4. Step 4: Simplify right side
    1,535.93x = 1,264,554.98
  5. Step 5: Solve for x
    x = 1,264,554.98/1,535.93
  6. Step 6: Final answer
    x = 823.31

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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.