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Finding the Fourth Proportional to 783.86, 1,081.92 and 465.10

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Solution

The fourth proportional to 783.86, 1,081.92 and 465.10 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,081.92 = 465.10 : x
  2. Step 2: Convert to fraction form
    783.86/1,081.92 = 465.10/x
  3. Step 3: Cross multiply
    783.86x = 1,081.92 × 465.10
  4. Step 4: Simplify right side
    783.86x = 503,200.99
  5. Step 5: Solve for x
    x = 503,200.99/783.86
  6. Step 6: Final answer
    x = 641.95

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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.