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Finding the Fourth Proportional to 582.51, 873.27 and 338.76

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Solution

The fourth proportional to 582.51, 873.27 and 338.76 is: 507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 873.27 = 338.76 : x
  2. Step 2: Convert to fraction form
    582.51/873.27 = 338.76/x
  3. Step 3: Cross multiply
    582.51x = 873.27 × 338.76
  4. Step 4: Simplify right side
    582.51x = 295,828.95
  5. Step 5: Solve for x
    x = 295,828.95/582.51
  6. Step 6: Final answer
    x = 507.85

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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.