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Finding the Fourth Proportional to 1,319.05, 1,978.71 and 345.16

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Solution

The fourth proportional to 1,319.05, 1,978.71 and 345.16 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.05 : 1,978.71 = 345.16 : x
  2. Step 2: Convert to fraction form
    1,319.05/1,978.71 = 345.16/x
  3. Step 3: Cross multiply
    1,319.05x = 1,978.71 × 345.16
  4. Step 4: Simplify right side
    1,319.05x = 682,959.92
  5. Step 5: Solve for x
    x = 682,959.92/1,319.05
  6. Step 6: Final answer
    x = 517.77

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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.