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Finding the Fourth Proportional to 584.80, 807 and 374.68

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Solution

The fourth proportional to 584.80, 807 and 374.68 is: 517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 807 = 374.68 : x
  2. Step 2: Convert to fraction form
    584.80/807 = 374.68/x
  3. Step 3: Cross multiply
    584.80x = 807 × 374.68
  4. Step 4: Simplify right side
    584.80x = 302,366.76
  5. Step 5: Solve for x
    x = 302,366.76/584.80
  6. Step 6: Final answer
    x = 517.04

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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.