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Finding the Fourth Proportional to 1,040.74, 1,561.12 and 607.60

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Solution

The fourth proportional to 1,040.74, 1,561.12 and 607.60 is: 911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.74 : 1,561.12 = 607.60 : x
  2. Step 2: Convert to fraction form
    1,040.74/1,561.12 = 607.60/x
  3. Step 3: Cross multiply
    1,040.74x = 1,561.12 × 607.60
  4. Step 4: Simplify right side
    1,040.74x = 948,536.51
  5. Step 5: Solve for x
    x = 948,536.51/1,040.74
  6. Step 6: Final answer
    x = 911.41

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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.