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Finding the Fourth Proportional to 1,019.13, 1,528.93 and 288.77

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Solution

The fourth proportional to 1,019.13, 1,528.93 and 288.77 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.13 : 1,528.93 = 288.77 : x
  2. Step 2: Convert to fraction form
    1,019.13/1,528.93 = 288.77/x
  3. Step 3: Cross multiply
    1,019.13x = 1,528.93 × 288.77
  4. Step 4: Simplify right side
    1,019.13x = 441,500.21
  5. Step 5: Solve for x
    x = 441,500.21/1,019.13
  6. Step 6: Final answer
    x = 433.21

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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.