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Finding the Fourth Proportional to 613.60, 919.05 and 613.60

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Solution

The fourth proportional to 613.60, 919.05 and 613.60 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 919.05 = 613.60 : x
  2. Step 2: Convert to fraction form
    613.60/919.05 = 613.60/x
  3. Step 3: Cross multiply
    613.60x = 919.05 × 613.60
  4. Step 4: Simplify right side
    613.60x = 563,929.08
  5. Step 5: Solve for x
    x = 563,929.08/613.60
  6. Step 6: Final answer
    x = 919.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.