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Finding the Fourth Proportional to 1,050.43, 1,575.60 and 270.43

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Solution

The fourth proportional to 1,050.43, 1,575.60 and 270.43 is: 405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.43 : 1,575.60 = 270.43 : x
  2. Step 2: Convert to fraction form
    1,050.43/1,575.60 = 270.43/x
  3. Step 3: Cross multiply
    1,050.43x = 1,575.60 × 270.43
  4. Step 4: Simplify right side
    1,050.43x = 426,089.51
  5. Step 5: Solve for x
    x = 426,089.51/1,050.43
  6. Step 6: Final answer
    x = 405.63

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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.