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Finding the Fourth Proportional to 655.52, 903.65 and 419.44

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Solution

The fourth proportional to 655.52, 903.65 and 419.44 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 903.65 = 419.44 : x
  2. Step 2: Convert to fraction form
    655.52/903.65 = 419.44/x
  3. Step 3: Cross multiply
    655.52x = 903.65 × 419.44
  4. Step 4: Simplify right side
    655.52x = 379,026.96
  5. Step 5: Solve for x
    x = 379,026.96/655.52
  6. Step 6: Final answer
    x = 578.21

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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.