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Finding the Fourth Proportional to 846.86, 1,270.67 and 538.83

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Solution

The fourth proportional to 846.86, 1,270.67 and 538.83 is: 808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.86 : 1,270.67 = 538.83 : x
  2. Step 2: Convert to fraction form
    846.86/1,270.67 = 538.83/x
  3. Step 3: Cross multiply
    846.86x = 1,270.67 × 538.83
  4. Step 4: Simplify right side
    846.86x = 684,672.42
  5. Step 5: Solve for x
    x = 684,672.42/846.86
  6. Step 6: Final answer
    x = 808.49

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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.