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Finding the Fourth Proportional to 1,404.95, 2,108.48 and 528.31

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Solution

The fourth proportional to 1,404.95, 2,108.48 and 528.31 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.95 : 2,108.48 = 528.31 : x
  2. Step 2: Convert to fraction form
    1,404.95/2,108.48 = 528.31/x
  3. Step 3: Cross multiply
    1,404.95x = 2,108.48 × 528.31
  4. Step 4: Simplify right side
    1,404.95x = 1,113,938.48
  5. Step 5: Solve for x
    x = 1,113,938.48/1,404.95
  6. Step 6: Final answer
    x = 792.87

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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.