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Finding the Fourth Proportional to 1,586.62, 2,378.28 and 613.39

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Solution

The fourth proportional to 1,586.62, 2,378.28 and 613.39 is: 919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.62 : 2,378.28 = 613.39 : x
  2. Step 2: Convert to fraction form
    1,586.62/2,378.28 = 613.39/x
  3. Step 3: Cross multiply
    1,586.62x = 2,378.28 × 613.39
  4. Step 4: Simplify right side
    1,586.62x = 1,458,813.17
  5. Step 5: Solve for x
    x = 1,458,813.17/1,586.62
  6. Step 6: Final answer
    x = 919.45

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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.