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Finding the Fourth Proportional to 555.85, 766.60 and 416.30

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Solution

The fourth proportional to 555.85, 766.60 and 416.30 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.85 : 766.60 = 416.30 : x
  2. Step 2: Convert to fraction form
    555.85/766.60 = 416.30/x
  3. Step 3: Cross multiply
    555.85x = 766.60 × 416.30
  4. Step 4: Simplify right side
    555.85x = 319,133.05
  5. Step 5: Solve for x
    x = 319,133.05/555.85
  6. Step 6: Final answer
    x = 574.14

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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.