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Finding the Fourth Proportional to 655.88, 903.15 and 567.20

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Solution

The fourth proportional to 655.88, 903.15 and 567.20 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 903.15 = 567.20 : x
  2. Step 2: Convert to fraction form
    655.88/903.15 = 567.20/x
  3. Step 3: Cross multiply
    655.88x = 903.15 × 567.20
  4. Step 4: Simplify right side
    655.88x = 512,268.94
  5. Step 5: Solve for x
    x = 512,268.94/655.88
  6. Step 6: Final answer
    x = 781.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.