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Finding the Fourth Proportional to 600.51, 898.95 and 394.57

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Solution

The fourth proportional to 600.51, 898.95 and 394.57 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.51 : 898.95 = 394.57 : x
  2. Step 2: Convert to fraction form
    600.51/898.95 = 394.57/x
  3. Step 3: Cross multiply
    600.51x = 898.95 × 394.57
  4. Step 4: Simplify right side
    600.51x = 354,699.09
  5. Step 5: Solve for x
    x = 354,699.09/600.51
  6. Step 6: Final answer
    x = 590.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.