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Finding the Fourth Proportional to 580.77, 799.73 and 497.81

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Solution

The fourth proportional to 580.77, 799.73 and 497.81 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 799.73 = 497.81 : x
  2. Step 2: Convert to fraction form
    580.77/799.73 = 497.81/x
  3. Step 3: Cross multiply
    580.77x = 799.73 × 497.81
  4. Step 4: Simplify right side
    580.77x = 398,113.59
  5. Step 5: Solve for x
    x = 398,113.59/580.77
  6. Step 6: Final answer
    x = 685.49

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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.