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Finding the Fourth Proportional to 1,205.78, 1,808.43 and 339.86

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Solution

The fourth proportional to 1,205.78, 1,808.43 and 339.86 is: 509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.78 : 1,808.43 = 339.86 : x
  2. Step 2: Convert to fraction form
    1,205.78/1,808.43 = 339.86/x
  3. Step 3: Cross multiply
    1,205.78x = 1,808.43 × 339.86
  4. Step 4: Simplify right side
    1,205.78x = 614,613.02
  5. Step 5: Solve for x
    x = 614,613.02/1,205.78
  6. Step 6: Final answer
    x = 509.72

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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.