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Finding the Fourth Proportional to 617.09, 920.60 and 524.75

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Solution

The fourth proportional to 617.09, 920.60 and 524.75 is: 782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 920.60 = 524.75 : x
  2. Step 2: Convert to fraction form
    617.09/920.60 = 524.75/x
  3. Step 3: Cross multiply
    617.09x = 920.60 × 524.75
  4. Step 4: Simplify right side
    617.09x = 483,079.59
  5. Step 5: Solve for x
    x = 483,079.59/617.09
  6. Step 6: Final answer
    x = 782.84

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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.