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Finding the Fourth Proportional to 618.20, 919.35 and 598.74

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Solution

The fourth proportional to 618.20, 919.35 and 598.74 is: 890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.20 : 919.35 = 598.74 : x
  2. Step 2: Convert to fraction form
    618.20/919.35 = 598.74/x
  3. Step 3: Cross multiply
    618.20x = 919.35 × 598.74
  4. Step 4: Simplify right side
    618.20x = 550,448.17
  5. Step 5: Solve for x
    x = 550,448.17/618.20
  6. Step 6: Final answer
    x = 890.41

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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.