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Finding the Fourth Proportional to 764.04, 1,145.25 and 558.30

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Solution

The fourth proportional to 764.04, 1,145.25 and 558.30 is: 836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.04 : 1,145.25 = 558.30 : x
  2. Step 2: Convert to fraction form
    764.04/1,145.25 = 558.30/x
  3. Step 3: Cross multiply
    764.04x = 1,145.25 × 558.30
  4. Step 4: Simplify right side
    764.04x = 639,393.08
  5. Step 5: Solve for x
    x = 639,393.08/764.04
  6. Step 6: Final answer
    x = 836.86

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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.