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Finding the Fourth Proportional to 580.91, 800.55 and 462.51

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Solution

The fourth proportional to 580.91, 800.55 and 462.51 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 800.55 = 462.51 : x
  2. Step 2: Convert to fraction form
    580.91/800.55 = 462.51/x
  3. Step 3: Cross multiply
    580.91x = 800.55 × 462.51
  4. Step 4: Simplify right side
    580.91x = 370,262.38
  5. Step 5: Solve for x
    x = 370,262.38/580.91
  6. Step 6: Final answer
    x = 637.39

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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.