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Finding the Fourth Proportional to 411.39, 564.47 and 407.52

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Solution

The fourth proportional to 411.39, 564.47 and 407.52 is: 559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 564.47 = 407.52 : x
  2. Step 2: Convert to fraction form
    411.39/564.47 = 407.52/x
  3. Step 3: Cross multiply
    411.39x = 564.47 × 407.52
  4. Step 4: Simplify right side
    411.39x = 230,031.72
  5. Step 5: Solve for x
    x = 230,031.72/411.39
  6. Step 6: Final answer
    x = 559.16

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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.