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Finding the Fourth Proportional to 626.83, 865.35 and 585.42

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Solution

The fourth proportional to 626.83, 865.35 and 585.42 is: 808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.83 : 865.35 = 585.42 : x
  2. Step 2: Convert to fraction form
    626.83/865.35 = 585.42/x
  3. Step 3: Cross multiply
    626.83x = 865.35 × 585.42
  4. Step 4: Simplify right side
    626.83x = 506,593.20
  5. Step 5: Solve for x
    x = 506,593.20/626.83
  6. Step 6: Final answer
    x = 808.18

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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.