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Finding the Fourth Proportional to 617.06, 919.50 and 597.49

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Solution

The fourth proportional to 617.06, 919.50 and 597.49 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 919.50 = 597.49 : x
  2. Step 2: Convert to fraction form
    617.06/919.50 = 597.49/x
  3. Step 3: Cross multiply
    617.06x = 919.50 × 597.49
  4. Step 4: Simplify right side
    617.06x = 549,392.06
  5. Step 5: Solve for x
    x = 549,392.06/617.06
  6. Step 6: Final answer
    x = 890.34

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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.