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Finding the Fourth Proportional to 655.17, 904.55 and 419.33

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Solution

The fourth proportional to 655.17, 904.55 and 419.33 is: 578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.17 : 904.55 = 419.33 : x
  2. Step 2: Convert to fraction form
    655.17/904.55 = 419.33/x
  3. Step 3: Cross multiply
    655.17x = 904.55 × 419.33
  4. Step 4: Simplify right side
    655.17x = 379,298.33
  5. Step 5: Solve for x
    x = 379,298.33/655.17
  6. Step 6: Final answer
    x = 578.93

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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.