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Finding the Fourth Proportional to 920.95, 1,382.07 and 434.05

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Solution

The fourth proportional to 920.95, 1,382.07 and 434.05 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.95 : 1,382.07 = 434.05 : x
  2. Step 2: Convert to fraction form
    920.95/1,382.07 = 434.05/x
  3. Step 3: Cross multiply
    920.95x = 1,382.07 × 434.05
  4. Step 4: Simplify right side
    920.95x = 599,887.48
  5. Step 5: Solve for x
    x = 599,887.48/920.95
  6. Step 6: Final answer
    x = 651.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.