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Finding the Fourth Proportional to 411.15, 564.19 and 374.02

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Solution

The fourth proportional to 411.15, 564.19 and 374.02 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.15 : 564.19 = 374.02 : x
  2. Step 2: Convert to fraction form
    411.15/564.19 = 374.02/x
  3. Step 3: Cross multiply
    411.15x = 564.19 × 374.02
  4. Step 4: Simplify right side
    411.15x = 211,018.34
  5. Step 5: Solve for x
    x = 211,018.34/411.15
  6. Step 6: Final answer
    x = 513.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.