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Finding the Fourth Proportional to 2,291.54, 3,437.12 and 648

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Solution

The fourth proportional to 2,291.54, 3,437.12 and 648 is: 971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.54 : 3,437.12 = 648 : x
  2. Step 2: Convert to fraction form
    2,291.54/3,437.12 = 648/x
  3. Step 3: Cross multiply
    2,291.54x = 3,437.12 × 648
  4. Step 4: Simplify right side
    2,291.54x = 2,227,253.76
  5. Step 5: Solve for x
    x = 2,227,253.76/2,291.54
  6. Step 6: Final answer
    x = 971.95

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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.