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Finding the Fourth Proportional to 920.81, 1,382.18 and 459.11

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Solution

The fourth proportional to 920.81, 1,382.18 and 459.11 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 1,382.18 = 459.11 : x
  2. Step 2: Convert to fraction form
    920.81/1,382.18 = 459.11/x
  3. Step 3: Cross multiply
    920.81x = 1,382.18 × 459.11
  4. Step 4: Simplify right side
    920.81x = 634,563.45
  5. Step 5: Solve for x
    x = 634,563.45/920.81
  6. Step 6: Final answer
    x = 689.14

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1.5x scale

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.