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Finding the Fourth Proportional to 889.74, 1,227.88 and 491.45

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Solution

The fourth proportional to 889.74, 1,227.88 and 491.45 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.74 : 1,227.88 = 491.45 : x
  2. Step 2: Convert to fraction form
    889.74/1,227.88 = 491.45/x
  3. Step 3: Cross multiply
    889.74x = 1,227.88 × 491.45
  4. Step 4: Simplify right side
    889.74x = 603,441.63
  5. Step 5: Solve for x
    x = 603,441.63/889.74
  6. Step 6: Final answer
    x = 678.22

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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.