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Finding the Fourth Proportional to 627.89, 865.99 and 585.98

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Solution

The fourth proportional to 627.89, 865.99 and 585.98 is: 808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.89 : 865.99 = 585.98 : x
  2. Step 2: Convert to fraction form
    627.89/865.99 = 585.98/x
  3. Step 3: Cross multiply
    627.89x = 865.99 × 585.98
  4. Step 4: Simplify right side
    627.89x = 507,452.82
  5. Step 5: Solve for x
    x = 507,452.82/627.89
  6. Step 6: Final answer
    x = 808.19

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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.