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Finding the Fourth Proportional to 535.20, 798.54 and 457.31

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Solution

The fourth proportional to 535.20, 798.54 and 457.31 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 798.54 = 457.31 : x
  2. Step 2: Convert to fraction form
    535.20/798.54 = 457.31/x
  3. Step 3: Cross multiply
    535.20x = 798.54 × 457.31
  4. Step 4: Simplify right side
    535.20x = 365,176.33
  5. Step 5: Solve for x
    x = 365,176.33/535.20
  6. Step 6: Final answer
    x = 682.32

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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.