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Finding the Fourth Proportional to 411.55, 614.32 and 400.01

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Solution

The fourth proportional to 411.55, 614.32 and 400.01 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 614.32 = 400.01 : x
  2. Step 2: Convert to fraction form
    411.55/614.32 = 400.01/x
  3. Step 3: Cross multiply
    411.55x = 614.32 × 400.01
  4. Step 4: Simplify right side
    411.55x = 245,730.07
  5. Step 5: Solve for x
    x = 245,730.07/411.55
  6. Step 6: Final answer
    x = 597.09

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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.