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Finding the Fourth Proportional to 764.79, 1,056.29 and 503.97

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Solution

The fourth proportional to 764.79, 1,056.29 and 503.97 is: 696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.79 : 1,056.29 = 503.97 : x
  2. Step 2: Convert to fraction form
    764.79/1,056.29 = 503.97/x
  3. Step 3: Cross multiply
    764.79x = 1,056.29 × 503.97
  4. Step 4: Simplify right side
    764.79x = 532,335.95
  5. Step 5: Solve for x
    x = 532,335.95/764.79
  6. Step 6: Final answer
    x = 696.06

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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.