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Finding the Fourth Proportional to 1,019.40, 1,528.87 and 288.78

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Solution

The fourth proportional to 1,019.40, 1,528.87 and 288.78 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.40 : 1,528.87 = 288.78 : x
  2. Step 2: Convert to fraction form
    1,019.40/1,528.87 = 288.78/x
  3. Step 3: Cross multiply
    1,019.40x = 1,528.87 × 288.78
  4. Step 4: Simplify right side
    1,019.40x = 441,507.08
  5. Step 5: Solve for x
    x = 441,507.08/1,019.40
  6. Step 6: Final answer
    x = 433.10

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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.