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Finding the Fourth Proportional to 981.84, 1,471.08 and 433.68

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Solution

The fourth proportional to 981.84, 1,471.08 and 433.68 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,471.08 = 433.68 : x
  2. Step 2: Convert to fraction form
    981.84/1,471.08 = 433.68/x
  3. Step 3: Cross multiply
    981.84x = 1,471.08 × 433.68
  4. Step 4: Simplify right side
    981.84x = 637,977.97
  5. Step 5: Solve for x
    x = 637,977.97/981.84
  6. Step 6: Final answer
    x = 649.78

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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.