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Finding the Fourth Proportional to 584.85, 807.03 and 360.75

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Solution

The fourth proportional to 584.85, 807.03 and 360.75 is: 497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 807.03 = 360.75 : x
  2. Step 2: Convert to fraction form
    584.85/807.03 = 360.75/x
  3. Step 3: Cross multiply
    584.85x = 807.03 × 360.75
  4. Step 4: Simplify right side
    584.85x = 291,136.07
  5. Step 5: Solve for x
    x = 291,136.07/584.85
  6. Step 6: Final answer
    x = 497.80

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1.5x scale

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.