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Finding the Fourth Proportional to 534.99, 803.20 and 458.45

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Solution

The fourth proportional to 534.99, 803.20 and 458.45 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 803.20 = 458.45 : x
  2. Step 2: Convert to fraction form
    534.99/803.20 = 458.45/x
  3. Step 3: Cross multiply
    534.99x = 803.20 × 458.45
  4. Step 4: Simplify right side
    534.99x = 368,227.04
  5. Step 5: Solve for x
    x = 368,227.04/534.99
  6. Step 6: Final answer
    x = 688.29

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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.