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Finding the Fourth Proportional to 763.64, 1,146.06 and 439.28

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Solution

The fourth proportional to 763.64, 1,146.06 and 439.28 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.64 : 1,146.06 = 439.28 : x
  2. Step 2: Convert to fraction form
    763.64/1,146.06 = 439.28/x
  3. Step 3: Cross multiply
    763.64x = 1,146.06 × 439.28
  4. Step 4: Simplify right side
    763.64x = 503,441.24
  5. Step 5: Solve for x
    x = 503,441.24/763.64
  6. Step 6: Final answer
    x = 659.27

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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.