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Finding the Fourth Proportional to 2,497.50, 3,746.23 and 648.61

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Solution

The fourth proportional to 2,497.50, 3,746.23 and 648.61 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.50 : 3,746.23 = 648.61 : x
  2. Step 2: Convert to fraction form
    2,497.50/3,746.23 = 648.61/x
  3. Step 3: Cross multiply
    2,497.50x = 3,746.23 × 648.61
  4. Step 4: Simplify right side
    2,497.50x = 2,429,842.24
  5. Step 5: Solve for x
    x = 2,429,842.24/2,497.50
  6. Step 6: Final answer
    x = 972.91

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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.