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Finding the Fourth Proportional to 612.47, 918.60 and 319.79

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Solution

The fourth proportional to 612.47, 918.60 and 319.79 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 918.60 = 319.79 : x
  2. Step 2: Convert to fraction form
    612.47/918.60 = 319.79/x
  3. Step 3: Cross multiply
    612.47x = 918.60 × 319.79
  4. Step 4: Simplify right side
    612.47x = 293,753.30
  5. Step 5: Solve for x
    x = 293,753.30/612.47
  6. Step 6: Final answer
    x = 479.62

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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.