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Finding the Fourth Proportional to 584.83, 807.15 and 374.67

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Solution

The fourth proportional to 584.83, 807.15 and 374.67 is: 517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 807.15 = 374.67 : x
  2. Step 2: Convert to fraction form
    584.83/807.15 = 374.67/x
  3. Step 3: Cross multiply
    584.83x = 807.15 × 374.67
  4. Step 4: Simplify right side
    584.83x = 302,414.89
  5. Step 5: Solve for x
    x = 302,414.89/584.83
  6. Step 6: Final answer
    x = 517.10

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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.