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Finding the Fourth Proportional to 584.91, 807.21 and 322.95

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Solution

The fourth proportional to 584.91, 807.21 and 322.95 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 807.21 = 322.95 : x
  2. Step 2: Convert to fraction form
    584.91/807.21 = 322.95/x
  3. Step 3: Cross multiply
    584.91x = 807.21 × 322.95
  4. Step 4: Simplify right side
    584.91x = 260,688.47
  5. Step 5: Solve for x
    x = 260,688.47/584.91
  6. Step 6: Final answer
    x = 445.69

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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.