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Finding the Fourth Proportional to 1,018.68, 1,527.80 and 288.33

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Solution

The fourth proportional to 1,018.68, 1,527.80 and 288.33 is: 432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.68 : 1,527.80 = 288.33 : x
  2. Step 2: Convert to fraction form
    1,018.68/1,527.80 = 288.33/x
  3. Step 3: Cross multiply
    1,018.68x = 1,527.80 × 288.33
  4. Step 4: Simplify right side
    1,018.68x = 440,509.13
  5. Step 5: Solve for x
    x = 440,509.13/1,018.68
  6. Step 6: Final answer
    x = 432.43

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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.