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Finding the Fourth Proportional to 555.50, 766.64 and 406.18

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Solution

The fourth proportional to 555.50, 766.64 and 406.18 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.50 : 766.64 = 406.18 : x
  2. Step 2: Convert to fraction form
    555.50/766.64 = 406.18/x
  3. Step 3: Cross multiply
    555.50x = 766.64 × 406.18
  4. Step 4: Simplify right side
    555.50x = 311,393.84
  5. Step 5: Solve for x
    x = 311,393.84/555.50
  6. Step 6: Final answer
    x = 560.56

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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.