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Finding the Fourth Proportional to 1,018.07, 1,527.11 and 287.65

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Solution

The fourth proportional to 1,018.07, 1,527.11 and 287.65 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.07 : 1,527.11 = 287.65 : x
  2. Step 2: Convert to fraction form
    1,018.07/1,527.11 = 287.65/x
  3. Step 3: Cross multiply
    1,018.07x = 1,527.11 × 287.65
  4. Step 4: Simplify right side
    1,018.07x = 439,274.74
  5. Step 5: Solve for x
    x = 439,274.74/1,018.07
  6. Step 6: Final answer
    x = 431.48

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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.