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Finding the Fourth Proportional to 1,319.10, 1,978.62 and 538.92

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Solution

The fourth proportional to 1,319.10, 1,978.62 and 538.92 is: 808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.10 : 1,978.62 = 538.92 : x
  2. Step 2: Convert to fraction form
    1,319.10/1,978.62 = 538.92/x
  3. Step 3: Cross multiply
    1,319.10x = 1,978.62 × 538.92
  4. Step 4: Simplify right side
    1,319.10x = 1,066,317.89
  5. Step 5: Solve for x
    x = 1,066,317.89/1,319.10
  6. Step 6: Final answer
    x = 808.37

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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.