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Finding the Fourth Proportional to 764.53, 1,055.09 and 503.05

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Solution

The fourth proportional to 764.53, 1,055.09 and 503.05 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.53 : 1,055.09 = 503.05 : x
  2. Step 2: Convert to fraction form
    764.53/1,055.09 = 503.05/x
  3. Step 3: Cross multiply
    764.53x = 1,055.09 × 503.05
  4. Step 4: Simplify right side
    764.53x = 530,763.02
  5. Step 5: Solve for x
    x = 530,763.02/764.53
  6. Step 6: Final answer
    x = 694.23

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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.