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Finding the Fourth Proportional to 654.35, 983.34 and 611.01

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Solution

The fourth proportional to 654.35, 983.34 and 611.01 is: 918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 983.34 = 611.01 : x
  2. Step 2: Convert to fraction form
    654.35/983.34 = 611.01/x
  3. Step 3: Cross multiply
    654.35x = 983.34 × 611.01
  4. Step 4: Simplify right side
    654.35x = 600,830.57
  5. Step 5: Solve for x
    x = 600,830.57/654.35
  6. Step 6: Final answer
    x = 918.22

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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.