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Finding the Fourth Proportional to 2,292.66, 3,438.48 and 649.36

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Solution

The fourth proportional to 2,292.66, 3,438.48 and 649.36 is: 973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.66 : 3,438.48 = 649.36 : x
  2. Step 2: Convert to fraction form
    2,292.66/3,438.48 = 649.36/x
  3. Step 3: Cross multiply
    2,292.66x = 3,438.48 × 649.36
  4. Step 4: Simplify right side
    2,292.66x = 2,232,811.37
  5. Step 5: Solve for x
    x = 2,232,811.37/2,292.66
  6. Step 6: Final answer
    x = 973.90

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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.