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Finding the Fourth Proportional to 1,050.44, 1,575.45 and 998.40

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Solution

The fourth proportional to 1,050.44, 1,575.45 and 998.40 is: 1,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.44 : 1,575.45 = 998.40 : x
  2. Step 2: Convert to fraction form
    1,050.44/1,575.45 = 998.40/x
  3. Step 3: Cross multiply
    1,050.44x = 1,575.45 × 998.40
  4. Step 4: Simplify right side
    1,050.44x = 1,572,929.28
  5. Step 5: Solve for x
    x = 1,572,929.28/1,050.44
  6. Step 6: Final answer
    x = 1,497.40

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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.