Home / 1,090.78-1,634.85-432.05

Finding the Fourth Proportional to 1,090.78, 1,634.85 and 432.05

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Solution

The fourth proportional to 1,090.78, 1,634.85 and 432.05 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.78 : 1,634.85 = 432.05 : x
  2. Step 2: Convert to fraction form
    1,090.78/1,634.85 = 432.05/x
  3. Step 3: Cross multiply
    1,090.78x = 1,634.85 × 432.05
  4. Step 4: Simplify right side
    1,090.78x = 706,328.77
  5. Step 5: Solve for x
    x = 706,328.77/1,090.78
  6. Step 6: Final answer
    x = 647.55

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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.