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Finding the Fourth Proportional to 2,410.45, 3,615.90 and 655.47

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Solution

The fourth proportional to 2,410.45, 3,615.90 and 655.47 is: 983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.45 : 3,615.90 = 655.47 : x
  2. Step 2: Convert to fraction form
    2,410.45/3,615.90 = 655.47/x
  3. Step 3: Cross multiply
    2,410.45x = 3,615.90 × 655.47
  4. Step 4: Simplify right side
    2,410.45x = 2,370,113.97
  5. Step 5: Solve for x
    x = 2,370,113.97/2,410.45
  6. Step 6: Final answer
    x = 983.27

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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.