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Finding the Fourth Proportional to 555.12, 829.71 and 416.88

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Solution

The fourth proportional to 555.12, 829.71 and 416.88 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.12 : 829.71 = 416.88 : x
  2. Step 2: Convert to fraction form
    555.12/829.71 = 416.88/x
  3. Step 3: Cross multiply
    555.12x = 829.71 × 416.88
  4. Step 4: Simplify right side
    555.12x = 345,889.50
  5. Step 5: Solve for x
    x = 345,889.50/555.12
  6. Step 6: Final answer
    x = 623.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.