Home / 1,019.24-1,528.91-288.87

Finding the Fourth Proportional to 1,019.24, 1,528.91 and 288.87

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Solution

The fourth proportional to 1,019.24, 1,528.91 and 288.87 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.24 : 1,528.91 = 288.87 : x
  2. Step 2: Convert to fraction form
    1,019.24/1,528.91 = 288.87/x
  3. Step 3: Cross multiply
    1,019.24x = 1,528.91 × 288.87
  4. Step 4: Simplify right side
    1,019.24x = 441,654.79
  5. Step 5: Solve for x
    x = 441,654.79/1,019.24
  6. Step 6: Final answer
    x = 433.32

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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.