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Finding the Fourth Proportional to 846.03, 1,269.08 and 613.82

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Solution

The fourth proportional to 846.03, 1,269.08 and 613.82 is: 920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.03 : 1,269.08 = 613.82 : x
  2. Step 2: Convert to fraction form
    846.03/1,269.08 = 613.82/x
  3. Step 3: Cross multiply
    846.03x = 1,269.08 × 613.82
  4. Step 4: Simplify right side
    846.03x = 778,977.27
  5. Step 5: Solve for x
    x = 778,977.27/846.03
  6. Step 6: Final answer
    x = 920.74

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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.