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Finding the Fourth Proportional to 2,402.93, 3,604.10 and 648.07

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Solution

The fourth proportional to 2,402.93, 3,604.10 and 648.07 is: 972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.93 : 3,604.10 = 648.07 : x
  2. Step 2: Convert to fraction form
    2,402.93/3,604.10 = 648.07/x
  3. Step 3: Cross multiply
    2,402.93x = 3,604.10 × 648.07
  4. Step 4: Simplify right side
    2,402.93x = 2,335,696.84
  5. Step 5: Solve for x
    x = 2,335,696.84/2,402.93
  6. Step 6: Final answer
    x = 972.02

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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.