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Finding the Fourth Proportional to 596.53, 898.86 and 490.69

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Solution

The fourth proportional to 596.53, 898.86 and 490.69 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.53 : 898.86 = 490.69 : x
  2. Step 2: Convert to fraction form
    596.53/898.86 = 490.69/x
  3. Step 3: Cross multiply
    596.53x = 898.86 × 490.69
  4. Step 4: Simplify right side
    596.53x = 441,061.61
  5. Step 5: Solve for x
    x = 441,061.61/596.53
  6. Step 6: Final answer
    x = 739.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.