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Finding the Fourth Proportional to 1,040.51, 1,560.74 and 424.20

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Solution

The fourth proportional to 1,040.51, 1,560.74 and 424.20 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.51 : 1,560.74 = 424.20 : x
  2. Step 2: Convert to fraction form
    1,040.51/1,560.74 = 424.20/x
  3. Step 3: Cross multiply
    1,040.51x = 1,560.74 × 424.20
  4. Step 4: Simplify right side
    1,040.51x = 662,069.64
  5. Step 5: Solve for x
    x = 662,069.64/1,040.51
  6. Step 6: Final answer
    x = 636.29

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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.