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Finding the Fourth Proportional to 584.87, 807.10 and 360.90

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Solution

The fourth proportional to 584.87, 807.10 and 360.90 is: 498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 807.10 = 360.90 : x
  2. Step 2: Convert to fraction form
    584.87/807.10 = 360.90/x
  3. Step 3: Cross multiply
    584.87x = 807.10 × 360.90
  4. Step 4: Simplify right side
    584.87x = 291,282.39
  5. Step 5: Solve for x
    x = 291,282.39/584.87
  6. Step 6: Final answer
    x = 498.03

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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.