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Finding the Fourth Proportional to 654.11, 977.62 and 602.22

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Solution

The fourth proportional to 654.11, 977.62 and 602.22 is: 900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 977.62 = 602.22 : x
  2. Step 2: Convert to fraction form
    654.11/977.62 = 602.22/x
  3. Step 3: Cross multiply
    654.11x = 977.62 × 602.22
  4. Step 4: Simplify right side
    654.11x = 588,742.32
  5. Step 5: Solve for x
    x = 588,742.32/654.11
  6. Step 6: Final answer
    x = 900.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.