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Finding the Fourth Proportional to 583.91, 806.88 and 473.96

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Solution

The fourth proportional to 583.91, 806.88 and 473.96 is: 654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.91 : 806.88 = 473.96 : x
  2. Step 2: Convert to fraction form
    583.91/806.88 = 473.96/x
  3. Step 3: Cross multiply
    583.91x = 806.88 × 473.96
  4. Step 4: Simplify right side
    583.91x = 382,424.81
  5. Step 5: Solve for x
    x = 382,424.81/583.91
  6. Step 6: Final answer
    x = 654.94

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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.