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Finding the Fourth Proportional to 1,040.40, 1,560.78 and 492.66

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Solution

The fourth proportional to 1,040.40, 1,560.78 and 492.66 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.40 : 1,560.78 = 492.66 : x
  2. Step 2: Convert to fraction form
    1,040.40/1,560.78 = 492.66/x
  3. Step 3: Cross multiply
    1,040.40x = 1,560.78 × 492.66
  4. Step 4: Simplify right side
    1,040.40x = 768,933.87
  5. Step 5: Solve for x
    x = 768,933.87/1,040.40
  6. Step 6: Final answer
    x = 739.08

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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.