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Finding the Fourth Proportional to 1,084.39, 1,625.67 and 353.77

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Solution

The fourth proportional to 1,084.39, 1,625.67 and 353.77 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.39 : 1,625.67 = 353.77 : x
  2. Step 2: Convert to fraction form
    1,084.39/1,625.67 = 353.77/x
  3. Step 3: Cross multiply
    1,084.39x = 1,625.67 × 353.77
  4. Step 4: Simplify right side
    1,084.39x = 575,109.21
  5. Step 5: Solve for x
    x = 575,109.21/1,084.39
  6. Step 6: Final answer
    x = 530.35

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1.5x scale

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.