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Finding the Fourth Proportional to 584.94, 807.18 and 322.98

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Solution

The fourth proportional to 584.94, 807.18 and 322.98 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 807.18 = 322.98 : x
  2. Step 2: Convert to fraction form
    584.94/807.18 = 322.98/x
  3. Step 3: Cross multiply
    584.94x = 807.18 × 322.98
  4. Step 4: Simplify right side
    584.94x = 260,703.00
  5. Step 5: Solve for x
    x = 260,703.00/584.94
  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.