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Finding the Fourth Proportional to 783.49, 1,081.19 and 442.77

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Solution

The fourth proportional to 783.49, 1,081.19 and 442.77 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.49 : 1,081.19 = 442.77 : x
  2. Step 2: Convert to fraction form
    783.49/1,081.19 = 442.77/x
  3. Step 3: Cross multiply
    783.49x = 1,081.19 × 442.77
  4. Step 4: Simplify right side
    783.49x = 478,725.19
  5. Step 5: Solve for x
    x = 478,725.19/783.49
  6. Step 6: Final answer
    x = 611.02

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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.