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Finding the Fourth Proportional to 1,040.06, 1,560.20 and 462.94

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Solution

The fourth proportional to 1,040.06, 1,560.20 and 462.94 is: 694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.06 : 1,560.20 = 462.94 : x
  2. Step 2: Convert to fraction form
    1,040.06/1,560.20 = 462.94/x
  3. Step 3: Cross multiply
    1,040.06x = 1,560.20 × 462.94
  4. Step 4: Simplify right side
    1,040.06x = 722,272.77
  5. Step 5: Solve for x
    x = 722,272.77/1,040.06
  6. Step 6: Final answer
    x = 694.45

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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.