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Finding the Fourth Proportional to 584.66, 807 and 467.45

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Solution

The fourth proportional to 584.66, 807 and 467.45 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.66 : 807 = 467.45 : x
  2. Step 2: Convert to fraction form
    584.66/807 = 467.45/x
  3. Step 3: Cross multiply
    584.66x = 807 × 467.45
  4. Step 4: Simplify right side
    584.66x = 377,232.15
  5. Step 5: Solve for x
    x = 377,232.15/584.66
  6. Step 6: Final answer
    x = 645.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.