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Finding the Fourth Proportional to 1,083.42, 1,624.86 and 352.98

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Solution

The fourth proportional to 1,083.42, 1,624.86 and 352.98 is: 529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.42 : 1,624.86 = 352.98 : x
  2. Step 2: Convert to fraction form
    1,083.42/1,624.86 = 352.98/x
  3. Step 3: Cross multiply
    1,083.42x = 1,624.86 × 352.98
  4. Step 4: Simplify right side
    1,083.42x = 573,543.08
  5. Step 5: Solve for x
    x = 573,543.08/1,083.42
  6. Step 6: Final answer
    x = 529.38

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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.