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Finding the Fourth Proportional to 628.99, 943.71 and 578.41

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Solution

The fourth proportional to 628.99, 943.71 and 578.41 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.99 : 943.71 = 578.41 : x
  2. Step 2: Convert to fraction form
    628.99/943.71 = 578.41/x
  3. Step 3: Cross multiply
    628.99x = 943.71 × 578.41
  4. Step 4: Simplify right side
    628.99x = 545,851.30
  5. Step 5: Solve for x
    x = 545,851.30/628.99
  6. Step 6: Final answer
    x = 867.82

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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.