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Finding the Fourth Proportional to 599.87, 828.05 and 403.94

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Solution

The fourth proportional to 599.87, 828.05 and 403.94 is: 557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.87 : 828.05 = 403.94 : x
  2. Step 2: Convert to fraction form
    599.87/828.05 = 403.94/x
  3. Step 3: Cross multiply
    599.87x = 828.05 × 403.94
  4. Step 4: Simplify right side
    599.87x = 334,482.52
  5. Step 5: Solve for x
    x = 334,482.52/599.87
  6. Step 6: Final answer
    x = 557.59

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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.