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Finding the Fourth Proportional to 536.15, 740.30 and 411.61

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Solution

The fourth proportional to 536.15, 740.30 and 411.61 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 740.30 = 411.61 : x
  2. Step 2: Convert to fraction form
    536.15/740.30 = 411.61/x
  3. Step 3: Cross multiply
    536.15x = 740.30 × 411.61
  4. Step 4: Simplify right side
    536.15x = 304,715.91
  5. Step 5: Solve for x
    x = 304,715.91/536.15
  6. Step 6: Final answer
    x = 568.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.