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Finding the Fourth Proportional to 889.77, 1,227.89 and 491.49

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Solution

The fourth proportional to 889.77, 1,227.89 and 491.49 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.77 : 1,227.89 = 491.49 : x
  2. Step 2: Convert to fraction form
    889.77/1,227.89 = 491.49/x
  3. Step 3: Cross multiply
    889.77x = 1,227.89 × 491.49
  4. Step 4: Simplify right side
    889.77x = 603,496.88
  5. Step 5: Solve for x
    x = 603,496.88/889.77
  6. Step 6: Final answer
    x = 678.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.