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Finding the Fourth Proportional to 1,318.83, 1,978.11 and 538.86

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Solution

The fourth proportional to 1,318.83, 1,978.11 and 538.86 is: 808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.83 : 1,978.11 = 538.86 : x
  2. Step 2: Convert to fraction form
    1,318.83/1,978.11 = 538.86/x
  3. Step 3: Cross multiply
    1,318.83x = 1,978.11 × 538.86
  4. Step 4: Simplify right side
    1,318.83x = 1,065,911.77
  5. Step 5: Solve for x
    x = 1,065,911.77/1,318.83
  6. Step 6: Final answer
    x = 808.23

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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.