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Finding the Fourth Proportional to 655.02, 985.91 and 575.64

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Solution

The fourth proportional to 655.02, 985.91 and 575.64 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 985.91 = 575.64 : x
  2. Step 2: Convert to fraction form
    655.02/985.91 = 575.64/x
  3. Step 3: Cross multiply
    655.02x = 985.91 × 575.64
  4. Step 4: Simplify right side
    655.02x = 567,526.35
  5. Step 5: Solve for x
    x = 567,526.35/655.02
  6. Step 6: Final answer
    x = 866.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.