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Finding the Fourth Proportional to 580.47, 800.50 and 462.83

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Solution

The fourth proportional to 580.47, 800.50 and 462.83 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.47 : 800.50 = 462.83 : x
  2. Step 2: Convert to fraction form
    580.47/800.50 = 462.83/x
  3. Step 3: Cross multiply
    580.47x = 800.50 × 462.83
  4. Step 4: Simplify right side
    580.47x = 370,497.99
  5. Step 5: Solve for x
    x = 370,497.99/580.47
  6. Step 6: Final answer
    x = 638.28

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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.