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Finding the Fourth Proportional to 584.84, 807.06 and 322.85

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Solution

The fourth proportional to 584.84, 807.06 and 322.85 is: 445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 807.06 = 322.85 : x
  2. Step 2: Convert to fraction form
    584.84/807.06 = 322.85/x
  3. Step 3: Cross multiply
    584.84x = 807.06 × 322.85
  4. Step 4: Simplify right side
    584.84x = 260,562.55
  5. Step 5: Solve for x
    x = 260,562.55/584.84
  6. Step 6: Final answer
    x = 445.53

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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.