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Finding the Fourth Proportional to 1,045.78, 1,567.74 and 396.97

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Solution

The fourth proportional to 1,045.78, 1,567.74 and 396.97 is: 595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.78 : 1,567.74 = 396.97 : x
  2. Step 2: Convert to fraction form
    1,045.78/1,567.74 = 396.97/x
  3. Step 3: Cross multiply
    1,045.78x = 1,567.74 × 396.97
  4. Step 4: Simplify right side
    1,045.78x = 622,345.87
  5. Step 5: Solve for x
    x = 622,345.87/1,045.78
  6. Step 6: Final answer
    x = 595.10

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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.