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Finding the Fourth Proportional to 657.17, 902.83 and 588.14

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Solution

The fourth proportional to 657.17, 902.83 and 588.14 is: 808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.17 : 902.83 = 588.14 : x
  2. Step 2: Convert to fraction form
    657.17/902.83 = 588.14/x
  3. Step 3: Cross multiply
    657.17x = 902.83 × 588.14
  4. Step 4: Simplify right side
    657.17x = 530,990.44
  5. Step 5: Solve for x
    x = 530,990.44/657.17
  6. Step 6: Final answer
    x = 808.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.