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Finding the Fourth Proportional to 535.28, 803.34 and 459.14

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Solution

The fourth proportional to 535.28, 803.34 and 459.14 is: 689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.28 : 803.34 = 459.14 : x
  2. Step 2: Convert to fraction form
    535.28/803.34 = 459.14/x
  3. Step 3: Cross multiply
    535.28x = 803.34 × 459.14
  4. Step 4: Simplify right side
    535.28x = 368,841.51
  5. Step 5: Solve for x
    x = 368,841.51/535.28
  6. Step 6: Final answer
    x = 689.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.