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Finding the Fourth Proportional to 1,400.76, 2,099.66 and 578.21

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Solution

The fourth proportional to 1,400.76, 2,099.66 and 578.21 is: 866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.76 : 2,099.66 = 578.21 : x
  2. Step 2: Convert to fraction form
    1,400.76/2,099.66 = 578.21/x
  3. Step 3: Cross multiply
    1,400.76x = 2,099.66 × 578.21
  4. Step 4: Simplify right side
    1,400.76x = 1,214,031.02
  5. Step 5: Solve for x
    x = 1,214,031.02/1,400.76
  6. Step 6: Final answer
    x = 866.69

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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.