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Finding the Fourth Proportional to 612.42, 917.46 and 319.47

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Solution

The fourth proportional to 612.42, 917.46 and 319.47 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.42 : 917.46 = 319.47 : x
  2. Step 2: Convert to fraction form
    612.42/917.46 = 319.47/x
  3. Step 3: Cross multiply
    612.42x = 917.46 × 319.47
  4. Step 4: Simplify right side
    612.42x = 293,099.41
  5. Step 5: Solve for x
    x = 293,099.41/612.42
  6. Step 6: Final answer
    x = 478.59

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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.