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Finding the Fourth Proportional to 783.84, 1,081.65 and 434.50

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Solution

The fourth proportional to 783.84, 1,081.65 and 434.50 is: 599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,081.65 = 434.50 : x
  2. Step 2: Convert to fraction form
    783.84/1,081.65 = 434.50/x
  3. Step 3: Cross multiply
    783.84x = 1,081.65 × 434.50
  4. Step 4: Simplify right side
    783.84x = 469,976.93
  5. Step 5: Solve for x
    x = 469,976.93/783.84
  6. Step 6: Final answer
    x = 599.58

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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.