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Finding the Fourth Proportional to 2,298.64, 3,448.68 and 760.72

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Solution

The fourth proportional to 2,298.64, 3,448.68 and 760.72 is: 1,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.64 : 3,448.68 = 760.72 : x
  2. Step 2: Convert to fraction form
    2,298.64/3,448.68 = 760.72/x
  3. Step 3: Cross multiply
    2,298.64x = 3,448.68 × 760.72
  4. Step 4: Simplify right side
    2,298.64x = 2,623,479.85
  5. Step 5: Solve for x
    x = 2,623,479.85/2,298.64
  6. Step 6: Final answer
    x = 1,141.32

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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.