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Finding the Fourth Proportional to 984.97, 1,477.35 and 464.84

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Solution

The fourth proportional to 984.97, 1,477.35 and 464.84 is: 697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.97 : 1,477.35 = 464.84 : x
  2. Step 2: Convert to fraction form
    984.97/1,477.35 = 464.84/x
  3. Step 3: Cross multiply
    984.97x = 1,477.35 × 464.84
  4. Step 4: Simplify right side
    984.97x = 686,723.99
  5. Step 5: Solve for x
    x = 686,723.99/984.97
  6. Step 6: Final answer
    x = 697.20

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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.