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Finding the Fourth Proportional to 783.60, 1,081.29 and 434.27

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Solution

The fourth proportional to 783.60, 1,081.29 and 434.27 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.60 : 1,081.29 = 434.27 : x
  2. Step 2: Convert to fraction form
    783.60/1,081.29 = 434.27/x
  3. Step 3: Cross multiply
    783.60x = 1,081.29 × 434.27
  4. Step 4: Simplify right side
    783.60x = 469,566.40
  5. Step 5: Solve for x
    x = 469,566.40/783.60
  6. Step 6: Final answer
    x = 599.24

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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.