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Finding the Fourth Proportional to 1,403.33, 2,104.95 and 478.74

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Solution

The fourth proportional to 1,403.33, 2,104.95 and 478.74 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.33 : 2,104.95 = 478.74 : x
  2. Step 2: Convert to fraction form
    1,403.33/2,104.95 = 478.74/x
  3. Step 3: Cross multiply
    1,403.33x = 2,104.95 × 478.74
  4. Step 4: Simplify right side
    1,403.33x = 1,007,733.45
  5. Step 5: Solve for x
    x = 1,007,733.45/1,403.33
  6. Step 6: Final answer
    x = 718.10

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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.