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Finding the Fourth Proportional to 2,260.32, 3,390.03 and 616.47

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Solution

The fourth proportional to 2,260.32, 3,390.03 and 616.47 is: 924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.32 : 3,390.03 = 616.47 : x
  2. Step 2: Convert to fraction form
    2,260.32/3,390.03 = 616.47/x
  3. Step 3: Cross multiply
    2,260.32x = 3,390.03 × 616.47
  4. Step 4: Simplify right side
    2,260.32x = 2,089,866.82
  5. Step 5: Solve for x
    x = 2,089,866.82/2,260.32
  6. Step 6: Final answer
    x = 924.59

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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.