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Finding the Fourth Proportional to 643.14, 885.60 and 581.40

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Solution

The fourth proportional to 643.14, 885.60 and 581.40 is: 800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 885.60 = 581.40 : x
  2. Step 2: Convert to fraction form
    643.14/885.60 = 581.40/x
  3. Step 3: Cross multiply
    643.14x = 885.60 × 581.40
  4. Step 4: Simplify right side
    643.14x = 514,887.84
  5. Step 5: Solve for x
    x = 514,887.84/643.14
  6. Step 6: Final answer
    x = 800.58

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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.