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Finding the Fourth Proportional to 612.15, 918.62 and 320.18

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Solution

The fourth proportional to 612.15, 918.62 and 320.18 is: 480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.15 : 918.62 = 320.18 : x
  2. Step 2: Convert to fraction form
    612.15/918.62 = 320.18/x
  3. Step 3: Cross multiply
    612.15x = 918.62 × 320.18
  4. Step 4: Simplify right side
    612.15x = 294,123.93
  5. Step 5: Solve for x
    x = 294,123.93/612.15
  6. Step 6: Final answer
    x = 480.47

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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.