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Finding the Fourth Proportional to 412.68, 615.32 and 405.39

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Solution

The fourth proportional to 412.68, 615.32 and 405.39 is: 604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 615.32 = 405.39 : x
  2. Step 2: Convert to fraction form
    412.68/615.32 = 405.39/x
  3. Step 3: Cross multiply
    412.68x = 615.32 × 405.39
  4. Step 4: Simplify right side
    412.68x = 249,442.55
  5. Step 5: Solve for x
    x = 249,442.55/412.68
  6. Step 6: Final answer
    x = 604.45

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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.