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Finding the Fourth Proportional to 585.06, 807.14 and 418.94

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Solution

The fourth proportional to 585.06, 807.14 and 418.94 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 807.14 = 418.94 : x
  2. Step 2: Convert to fraction form
    585.06/807.14 = 418.94/x
  3. Step 3: Cross multiply
    585.06x = 807.14 × 418.94
  4. Step 4: Simplify right side
    585.06x = 338,146.30
  5. Step 5: Solve for x
    x = 338,146.30/585.06
  6. Step 6: Final answer
    x = 577.97

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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.