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Finding the Fourth Proportional to 1,317.88, 1,977.08 and 393.42

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Solution

The fourth proportional to 1,317.88, 1,977.08 and 393.42 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.88 : 1,977.08 = 393.42 : x
  2. Step 2: Convert to fraction form
    1,317.88/1,977.08 = 393.42/x
  3. Step 3: Cross multiply
    1,317.88x = 1,977.08 × 393.42
  4. Step 4: Simplify right side
    1,317.88x = 777,828.26
  5. Step 5: Solve for x
    x = 777,828.26/1,317.88
  6. Step 6: Final answer
    x = 590.21

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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.