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Finding the Fourth Proportional to 575.66, 864.03 and 301.95

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Solution

The fourth proportional to 575.66, 864.03 and 301.95 is: 453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.66 : 864.03 = 301.95 : x
  2. Step 2: Convert to fraction form
    575.66/864.03 = 301.95/x
  3. Step 3: Cross multiply
    575.66x = 864.03 × 301.95
  4. Step 4: Simplify right side
    575.66x = 260,894.99
  5. Step 5: Solve for x
    x = 260,894.99/575.66
  6. Step 6: Final answer
    x = 453.21

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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.