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Finding the Fourth Proportional to 617.06, 919.90 and 586.28

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Solution

The fourth proportional to 617.06, 919.90 and 586.28 is: 874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 919.90 = 586.28 : x
  2. Step 2: Convert to fraction form
    617.06/919.90 = 586.28/x
  3. Step 3: Cross multiply
    617.06x = 919.90 × 586.28
  4. Step 4: Simplify right side
    617.06x = 539,318.97
  5. Step 5: Solve for x
    x = 539,318.97/617.06
  6. Step 6: Final answer
    x = 874.01

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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.