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Finding the Fourth Proportional to 627.17, 865.13 and 403.07

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Solution

The fourth proportional to 627.17, 865.13 and 403.07 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.17 : 865.13 = 403.07 : x
  2. Step 2: Convert to fraction form
    627.17/865.13 = 403.07/x
  3. Step 3: Cross multiply
    627.17x = 865.13 × 403.07
  4. Step 4: Simplify right side
    627.17x = 348,701.61
  5. Step 5: Solve for x
    x = 348,701.61/627.17
  6. Step 6: Final answer
    x = 556.00

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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.