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Finding the Fourth Proportional to 1,083.58, 1,625.47 and 353.16

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Solution

The fourth proportional to 1,083.58, 1,625.47 and 353.16 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.58 : 1,625.47 = 353.16 : x
  2. Step 2: Convert to fraction form
    1,083.58/1,625.47 = 353.16/x
  3. Step 3: Cross multiply
    1,083.58x = 1,625.47 × 353.16
  4. Step 4: Simplify right side
    1,083.58x = 574,050.10
  5. Step 5: Solve for x
    x = 574,050.10/1,083.58
  6. Step 6: Final answer
    x = 529.77

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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.