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Finding the Fourth Proportional to 760.50, 1,049.56 and 428.94

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Solution

The fourth proportional to 760.50, 1,049.56 and 428.94 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,049.56 = 428.94 : x
  2. Step 2: Convert to fraction form
    760.50/1,049.56 = 428.94/x
  3. Step 3: Cross multiply
    760.50x = 1,049.56 × 428.94
  4. Step 4: Simplify right side
    760.50x = 450,198.27
  5. Step 5: Solve for x
    x = 450,198.27/760.50
  6. Step 6: Final answer
    x = 591.98

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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.