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Finding the Fourth Proportional to 612.10, 917.53 and 367.48

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Solution

The fourth proportional to 612.10, 917.53 and 367.48 is: 550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.10 : 917.53 = 367.48 : x
  2. Step 2: Convert to fraction form
    612.10/917.53 = 367.48/x
  3. Step 3: Cross multiply
    612.10x = 917.53 × 367.48
  4. Step 4: Simplify right side
    612.10x = 337,173.92
  5. Step 5: Solve for x
    x = 337,173.92/612.10
  6. Step 6: Final answer
    x = 550.85

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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.