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Finding the Fourth Proportional to 783.60, 1,081.67 and 488.94

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Solution

The fourth proportional to 783.60, 1,081.67 and 488.94 is: 674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.60 : 1,081.67 = 488.94 : x
  2. Step 2: Convert to fraction form
    783.60/1,081.67 = 488.94/x
  3. Step 3: Cross multiply
    783.60x = 1,081.67 × 488.94
  4. Step 4: Simplify right side
    783.60x = 528,869.29
  5. Step 5: Solve for x
    x = 528,869.29/783.60
  6. Step 6: Final answer
    x = 674.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.