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Finding the Fourth Proportional to 704.78, 1,057.19 and 339.50

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Solution

The fourth proportional to 704.78, 1,057.19 and 339.50 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 1,057.19 = 339.50 : x
  2. Step 2: Convert to fraction form
    704.78/1,057.19 = 339.50/x
  3. Step 3: Cross multiply
    704.78x = 1,057.19 × 339.50
  4. Step 4: Simplify right side
    704.78x = 358,909.02
  5. Step 5: Solve for x
    x = 358,909.02/704.78
  6. Step 6: Final answer
    x = 509.25

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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.