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Finding the Fourth Proportional to 607.81, 912.25 and 283.36

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Solution

The fourth proportional to 607.81, 912.25 and 283.36 is: 425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.81 : 912.25 = 283.36 : x
  2. Step 2: Convert to fraction form
    607.81/912.25 = 283.36/x
  3. Step 3: Cross multiply
    607.81x = 912.25 × 283.36
  4. Step 4: Simplify right side
    607.81x = 258,490.60
  5. Step 5: Solve for x
    x = 258,490.60/607.81
  6. Step 6: Final answer
    x = 425.29

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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.