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Finding the Fourth Proportional to 889.05, 1,334.00 and 478.13

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Solution

The fourth proportional to 889.05, 1,334.00 and 478.13 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.05 : 1,334.00 = 478.13 : x
  2. Step 2: Convert to fraction form
    889.05/1,334.00 = 478.13/x
  3. Step 3: Cross multiply
    889.05x = 1,334.00 × 478.13
  4. Step 4: Simplify right side
    889.05x = 637,829.95
  5. Step 5: Solve for x
    x = 637,829.95/889.05
  6. Step 6: Final answer
    x = 717.43

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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.