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Finding the Fourth Proportional to 607.94, 912.35 and 412.48

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Solution

The fourth proportional to 607.94, 912.35 and 412.48 is: 619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.94 : 912.35 = 412.48 : x
  2. Step 2: Convert to fraction form
    607.94/912.35 = 412.48/x
  3. Step 3: Cross multiply
    607.94x = 912.35 × 412.48
  4. Step 4: Simplify right side
    607.94x = 376,328.30
  5. Step 5: Solve for x
    x = 376,328.30/607.94
  6. Step 6: Final answer
    x = 619.02

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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.