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Finding the Fourth Proportional to 1,319.38, 1,978.98 and 345.46

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Solution

The fourth proportional to 1,319.38, 1,978.98 and 345.46 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.38 : 1,978.98 = 345.46 : x
  2. Step 2: Convert to fraction form
    1,319.38/1,978.98 = 345.46/x
  3. Step 3: Cross multiply
    1,319.38x = 1,978.98 × 345.46
  4. Step 4: Simplify right side
    1,319.38x = 683,658.43
  5. Step 5: Solve for x
    x = 683,658.43/1,319.38
  6. Step 6: Final answer
    x = 518.17

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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.