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Finding the Fourth Proportional to 945.24, 1,304.98 and 650.94

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Solution

The fourth proportional to 945.24, 1,304.98 and 650.94 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.24 : 1,304.98 = 650.94 : x
  2. Step 2: Convert to fraction form
    945.24/1,304.98 = 650.94/x
  3. Step 3: Cross multiply
    945.24x = 1,304.98 × 650.94
  4. Step 4: Simplify right side
    945.24x = 849,463.68
  5. Step 5: Solve for x
    x = 849,463.68/945.24
  6. Step 6: Final answer
    x = 898.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.