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Finding the Fourth Proportional to 618.29, 919.48 and 598.82

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Solution

The fourth proportional to 618.29, 919.48 and 598.82 is: 890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.29 : 919.48 = 598.82 : x
  2. Step 2: Convert to fraction form
    618.29/919.48 = 598.82/x
  3. Step 3: Cross multiply
    618.29x = 919.48 × 598.82
  4. Step 4: Simplify right side
    618.29x = 550,600.02
  5. Step 5: Solve for x
    x = 550,600.02/618.29
  6. Step 6: Final answer
    x = 890.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.