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Finding the Fourth Proportional to 655.02, 980.10 and 538.38

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Solution

The fourth proportional to 655.02, 980.10 and 538.38 is: 805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 980.10 = 538.38 : x
  2. Step 2: Convert to fraction form
    655.02/980.10 = 538.38/x
  3. Step 3: Cross multiply
    655.02x = 980.10 × 538.38
  4. Step 4: Simplify right side
    655.02x = 527,666.24
  5. Step 5: Solve for x
    x = 527,666.24/655.02
  6. Step 6: Final answer
    x = 805.57

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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.