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Finding the Fourth Proportional to 411.34, 621.51 and 407.38

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Solution

The fourth proportional to 411.34, 621.51 and 407.38 is: 615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 621.51 = 407.38 : x
  2. Step 2: Convert to fraction form
    411.34/621.51 = 407.38/x
  3. Step 3: Cross multiply
    411.34x = 621.51 × 407.38
  4. Step 4: Simplify right side
    411.34x = 253,188.71
  5. Step 5: Solve for x
    x = 253,188.71/411.34
  6. Step 6: Final answer
    x = 615.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.