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Finding the Fourth Proportional to 2,303.02, 3,453.65 and 742.63

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Solution

The fourth proportional to 2,303.02, 3,453.65 and 742.63 is: 1,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.02 : 3,453.65 = 742.63 : x
  2. Step 2: Convert to fraction form
    2,303.02/3,453.65 = 742.63/x
  3. Step 3: Cross multiply
    2,303.02x = 3,453.65 × 742.63
  4. Step 4: Simplify right side
    2,303.02x = 2,564,766.83
  5. Step 5: Solve for x
    x = 2,564,766.83/2,303.02
  6. Step 6: Final answer
    x = 1,113.65

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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.