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Finding the Fourth Proportional to 612.61, 919.52 and 320.40

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Solution

The fourth proportional to 612.61, 919.52 and 320.40 is: 480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.61 : 919.52 = 320.40 : x
  2. Step 2: Convert to fraction form
    612.61/919.52 = 320.40/x
  3. Step 3: Cross multiply
    612.61x = 919.52 × 320.40
  4. Step 4: Simplify right side
    612.61x = 294,614.21
  5. Step 5: Solve for x
    x = 294,614.21/612.61
  6. Step 6: Final answer
    x = 480.92

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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.