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Finding the Fourth Proportional to 412.84, 613.68 and 400.55

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Solution

The fourth proportional to 412.84, 613.68 and 400.55 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 613.68 = 400.55 : x
  2. Step 2: Convert to fraction form
    412.84/613.68 = 400.55/x
  3. Step 3: Cross multiply
    412.84x = 613.68 × 400.55
  4. Step 4: Simplify right side
    412.84x = 245,809.52
  5. Step 5: Solve for x
    x = 245,809.52/412.84
  6. Step 6: Final answer
    x = 595.41

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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.