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Finding the Fourth Proportional to 1,040.42, 1,560.64 and 424

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Solution

The fourth proportional to 1,040.42, 1,560.64 and 424 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.42 : 1,560.64 = 424 : x
  2. Step 2: Convert to fraction form
    1,040.42/1,560.64 = 424/x
  3. Step 3: Cross multiply
    1,040.42x = 1,560.64 × 424
  4. Step 4: Simplify right side
    1,040.42x = 661,711.36
  5. Step 5: Solve for x
    x = 661,711.36/1,040.42
  6. Step 6: Final answer
    x = 636.00

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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.