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Finding the Fourth Proportional to 564.95, 777.90 and 494.62

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Solution

The fourth proportional to 564.95, 777.90 and 494.62 is: 681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 777.90 = 494.62 : x
  2. Step 2: Convert to fraction form
    564.95/777.90 = 494.62/x
  3. Step 3: Cross multiply
    564.95x = 777.90 × 494.62
  4. Step 4: Simplify right side
    564.95x = 384,764.81
  5. Step 5: Solve for x
    x = 384,764.81/564.95
  6. Step 6: Final answer
    x = 681.06

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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.