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Finding the Fourth Proportional to 2,291.58, 3,437.40 and 648

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Solution

The fourth proportional to 2,291.58, 3,437.40 and 648 is: 972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.58 : 3,437.40 = 648 : x
  2. Step 2: Convert to fraction form
    2,291.58/3,437.40 = 648/x
  3. Step 3: Cross multiply
    2,291.58x = 3,437.40 × 648
  4. Step 4: Simplify right side
    2,291.58x = 2,227,435.20
  5. Step 5: Solve for x
    x = 2,227,435.20/2,291.58
  6. Step 6: Final answer
    x = 972.01

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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.