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Finding the Fourth Proportional to 537.76, 740.64 and 406

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Solution

The fourth proportional to 537.76, 740.64 and 406 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 740.64 = 406 : x
  2. Step 2: Convert to fraction form
    537.76/740.64 = 406/x
  3. Step 3: Cross multiply
    537.76x = 740.64 × 406
  4. Step 4: Simplify right side
    537.76x = 300,699.84
  5. Step 5: Solve for x
    x = 300,699.84/537.76
  6. Step 6: Final answer
    x = 559.17

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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.