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Finding the Fourth Proportional to 1,403.67, 2,104.86 and 416.13

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Solution

The fourth proportional to 1,403.67, 2,104.86 and 416.13 is: 624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.67 : 2,104.86 = 416.13 : x
  2. Step 2: Convert to fraction form
    1,403.67/2,104.86 = 416.13/x
  3. Step 3: Cross multiply
    1,403.67x = 2,104.86 × 416.13
  4. Step 4: Simplify right side
    1,403.67x = 875,895.39
  5. Step 5: Solve for x
    x = 875,895.39/1,403.67
  6. Step 6: Final answer
    x = 624.00

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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.