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Finding the Fourth Proportional to 2,410.35, 3,615.52 and 678.97

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Solution

The fourth proportional to 2,410.35, 3,615.52 and 678.97 is: 1,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.35 : 3,615.52 = 678.97 : x
  2. Step 2: Convert to fraction form
    2,410.35/3,615.52 = 678.97/x
  3. Step 3: Cross multiply
    2,410.35x = 3,615.52 × 678.97
  4. Step 4: Simplify right side
    2,410.35x = 2,454,829.61
  5. Step 5: Solve for x
    x = 2,454,829.61/2,410.35
  6. Step 6: Final answer
    x = 1,018.46

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1.5x scale

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.