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Finding the Fourth Proportional to 535.78, 738.05 and 456.84

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Solution

The fourth proportional to 535.78, 738.05 and 456.84 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 738.05 = 456.84 : x
  2. Step 2: Convert to fraction form
    535.78/738.05 = 456.84/x
  3. Step 3: Cross multiply
    535.78x = 738.05 × 456.84
  4. Step 4: Simplify right side
    535.78x = 337,170.06
  5. Step 5: Solve for x
    x = 337,170.06/535.78
  6. Step 6: Final answer
    x = 629.31

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1.5x scale

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.