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Finding the Fourth Proportional to 1,358.90, 2,037.66 and 578.60

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Solution

The fourth proportional to 1,358.90, 2,037.66 and 578.60 is: 867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.90 : 2,037.66 = 578.60 : x
  2. Step 2: Convert to fraction form
    1,358.90/2,037.66 = 578.60/x
  3. Step 3: Cross multiply
    1,358.90x = 2,037.66 × 578.60
  4. Step 4: Simplify right side
    1,358.90x = 1,178,990.08
  5. Step 5: Solve for x
    x = 1,178,990.08/1,358.90
  6. Step 6: Final answer
    x = 867.61

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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.