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Finding the Fourth Proportional to 764.24, 1,055.23 and 502.61

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Solution

The fourth proportional to 764.24, 1,055.23 and 502.61 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,055.23 = 502.61 : x
  2. Step 2: Convert to fraction form
    764.24/1,055.23 = 502.61/x
  3. Step 3: Cross multiply
    764.24x = 1,055.23 × 502.61
  4. Step 4: Simplify right side
    764.24x = 530,362.62
  5. Step 5: Solve for x
    x = 530,362.62/764.24
  6. Step 6: Final answer
    x = 693.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.