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Finding the Fourth Proportional to 1,650.24, 2,473.08 and 956.46

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Solution

The fourth proportional to 1,650.24, 2,473.08 and 956.46 is: 1,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.24 : 2,473.08 = 956.46 : x
  2. Step 2: Convert to fraction form
    1,650.24/2,473.08 = 956.46/x
  3. Step 3: Cross multiply
    1,650.24x = 2,473.08 × 956.46
  4. Step 4: Simplify right side
    1,650.24x = 2,365,402.10
  5. Step 5: Solve for x
    x = 2,365,402.10/1,650.24
  6. Step 6: Final answer
    x = 1,433.37

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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.