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Finding the Fourth Proportional to 535.69, 740.01 and 496

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Solution

The fourth proportional to 535.69, 740.01 and 496 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.69 : 740.01 = 496 : x
  2. Step 2: Convert to fraction form
    535.69/740.01 = 496/x
  3. Step 3: Cross multiply
    535.69x = 740.01 × 496
  4. Step 4: Simplify right side
    535.69x = 367,044.96
  5. Step 5: Solve for x
    x = 367,044.96/535.69
  6. Step 6: Final answer
    x = 685.18

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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.