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Finding the Fourth Proportional to 607.90, 912.24 and 319.54

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Solution

The fourth proportional to 607.90, 912.24 and 319.54 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.90 : 912.24 = 319.54 : x
  2. Step 2: Convert to fraction form
    607.90/912.24 = 319.54/x
  3. Step 3: Cross multiply
    607.90x = 912.24 × 319.54
  4. Step 4: Simplify right side
    607.90x = 291,497.17
  5. Step 5: Solve for x
    x = 291,497.17/607.90
  6. Step 6: Final answer
    x = 479.52

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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.