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Finding the Fourth Proportional to 579.90, 800.45 and 462.08

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Solution

The fourth proportional to 579.90, 800.45 and 462.08 is: 637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 800.45 = 462.08 : x
  2. Step 2: Convert to fraction form
    579.90/800.45 = 462.08/x
  3. Step 3: Cross multiply
    579.90x = 800.45 × 462.08
  4. Step 4: Simplify right side
    579.90x = 369,873.36
  5. Step 5: Solve for x
    x = 369,873.36/579.90
  6. Step 6: Final answer
    x = 637.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.