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Finding the Fourth Proportional to 654.44, 901.47 and 611.40

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Solution

The fourth proportional to 654.44, 901.47 and 611.40 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 901.47 = 611.40 : x
  2. Step 2: Convert to fraction form
    654.44/901.47 = 611.40/x
  3. Step 3: Cross multiply
    654.44x = 901.47 × 611.40
  4. Step 4: Simplify right side
    654.44x = 551,154.25
  5. Step 5: Solve for x
    x = 551,154.25/654.44
  6. Step 6: Final answer
    x = 842.17

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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.