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Finding the Fourth Proportional to 564.10, 777.36 and 406.46

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Solution

The fourth proportional to 564.10, 777.36 and 406.46 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 777.36 = 406.46 : x
  2. Step 2: Convert to fraction form
    564.10/777.36 = 406.46/x
  3. Step 3: Cross multiply
    564.10x = 777.36 × 406.46
  4. Step 4: Simplify right side
    564.10x = 315,965.75
  5. Step 5: Solve for x
    x = 315,965.75/564.10
  6. Step 6: Final answer
    x = 560.12

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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.