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Finding the Fourth Proportional to 564.84, 777.90 and 538.92

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Solution

The fourth proportional to 564.84, 777.90 and 538.92 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 777.90 = 538.92 : x
  2. Step 2: Convert to fraction form
    564.84/777.90 = 538.92/x
  3. Step 3: Cross multiply
    564.84x = 777.90 × 538.92
  4. Step 4: Simplify right side
    564.84x = 419,225.87
  5. Step 5: Solve for x
    x = 419,225.87/564.84
  6. Step 6: Final answer
    x = 742.20

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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.