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Finding the Fourth Proportional to 1,040.35, 1,560.90 and 424.22

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Solution

The fourth proportional to 1,040.35, 1,560.90 and 424.22 is: 636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.35 : 1,560.90 = 424.22 : x
  2. Step 2: Convert to fraction form
    1,040.35/1,560.90 = 424.22/x
  3. Step 3: Cross multiply
    1,040.35x = 1,560.90 × 424.22
  4. Step 4: Simplify right side
    1,040.35x = 662,168.90
  5. Step 5: Solve for x
    x = 662,168.90/1,040.35
  6. Step 6: Final answer
    x = 636.49

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Double scale
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1.5x scale

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.