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Finding the Fourth Proportional to 1,528.84, 2,292.85 and 433.27

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Solution

The fourth proportional to 1,528.84, 2,292.85 and 433.27 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.84 : 2,292.85 = 433.27 : x
  2. Step 2: Convert to fraction form
    1,528.84/2,292.85 = 433.27/x
  3. Step 3: Cross multiply
    1,528.84x = 2,292.85 × 433.27
  4. Step 4: Simplify right side
    1,528.84x = 993,409.49
  5. Step 5: Solve for x
    x = 993,409.49/1,528.84
  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.