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Finding the Fourth Proportional to 535.47, 738.89 and 314.38

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Solution

The fourth proportional to 535.47, 738.89 and 314.38 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 738.89 = 314.38 : x
  2. Step 2: Convert to fraction form
    535.47/738.89 = 314.38/x
  3. Step 3: Cross multiply
    535.47x = 738.89 × 314.38
  4. Step 4: Simplify right side
    535.47x = 232,292.24
  5. Step 5: Solve for x
    x = 232,292.24/535.47
  6. Step 6: Final answer
    x = 433.81

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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.