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Finding the Fourth Proportional to 984.81, 1,477.25 and 436.65

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Solution

The fourth proportional to 984.81, 1,477.25 and 436.65 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.81 : 1,477.25 = 436.65 : x
  2. Step 2: Convert to fraction form
    984.81/1,477.25 = 436.65/x
  3. Step 3: Cross multiply
    984.81x = 1,477.25 × 436.65
  4. Step 4: Simplify right side
    984.81x = 645,041.21
  5. Step 5: Solve for x
    x = 645,041.21/984.81
  6. Step 6: Final answer
    x = 654.99

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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.