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Finding the Fourth Proportional to 655.02, 980.37 and 362.07

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Solution

The fourth proportional to 655.02, 980.37 and 362.07 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 980.37 = 362.07 : x
  2. Step 2: Convert to fraction form
    655.02/980.37 = 362.07/x
  3. Step 3: Cross multiply
    655.02x = 980.37 × 362.07
  4. Step 4: Simplify right side
    655.02x = 354,962.57
  5. Step 5: Solve for x
    x = 354,962.57/655.02
  6. Step 6: Final answer
    x = 541.91

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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.