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Finding the Fourth Proportional to 541.62, 745.20 and 476.01

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Solution

The fourth proportional to 541.62, 745.20 and 476.01 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 745.20 = 476.01 : x
  2. Step 2: Convert to fraction form
    541.62/745.20 = 476.01/x
  3. Step 3: Cross multiply
    541.62x = 745.20 × 476.01
  4. Step 4: Simplify right side
    541.62x = 354,722.65
  5. Step 5: Solve for x
    x = 354,722.65/541.62
  6. Step 6: Final answer
    x = 654.93

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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.