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Finding the Fourth Proportional to 585.09, 805.95 and 419.04

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Solution

The fourth proportional to 585.09, 805.95 and 419.04 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 805.95 = 419.04 : x
  2. Step 2: Convert to fraction form
    585.09/805.95 = 419.04/x
  3. Step 3: Cross multiply
    585.09x = 805.95 × 419.04
  4. Step 4: Simplify right side
    585.09x = 337,725.29
  5. Step 5: Solve for x
    x = 337,725.29/585.09
  6. Step 6: Final answer
    x = 577.22

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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.