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Finding the Fourth Proportional to 1,019.15, 1,528.72 and 288.63

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Solution

The fourth proportional to 1,019.15, 1,528.72 and 288.63 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.15 : 1,528.72 = 288.63 : x
  2. Step 2: Convert to fraction form
    1,019.15/1,528.72 = 288.63/x
  3. Step 3: Cross multiply
    1,019.15x = 1,528.72 × 288.63
  4. Step 4: Simplify right side
    1,019.15x = 441,235.36
  5. Step 5: Solve for x
    x = 441,235.36/1,019.15
  6. Step 6: Final answer
    x = 432.95

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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.