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Finding the Fourth Proportional to 1,045.35, 1,442.54 and 573.23

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Solution

The fourth proportional to 1,045.35, 1,442.54 and 573.23 is: 791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.35 : 1,442.54 = 573.23 : x
  2. Step 2: Convert to fraction form
    1,045.35/1,442.54 = 573.23/x
  3. Step 3: Cross multiply
    1,045.35x = 1,442.54 × 573.23
  4. Step 4: Simplify right side
    1,045.35x = 826,912.24
  5. Step 5: Solve for x
    x = 826,912.24/1,045.35
  6. Step 6: Final answer
    x = 791.04

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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.