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Finding the Fourth Proportional to 1,040.50, 1,560.35 and 424.00

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Solution

The fourth proportional to 1,040.50, 1,560.35 and 424.00 is: 635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.50 : 1,560.35 = 424.00 : x
  2. Step 2: Convert to fraction form
    1,040.50/1,560.35 = 424.00/x
  3. Step 3: Cross multiply
    1,040.50x = 1,560.35 × 424.00
  4. Step 4: Simplify right side
    1,040.50x = 661,591.41
  5. Step 5: Solve for x
    x = 661,591.41/1,040.50
  6. Step 6: Final answer
    x = 635.84

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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.