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Finding the Fourth Proportional to 1,018.37, 1,527.55 and 287.94

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Solution

The fourth proportional to 1,018.37, 1,527.55 and 287.94 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.37 : 1,527.55 = 287.94 : x
  2. Step 2: Convert to fraction form
    1,018.37/1,527.55 = 287.94/x
  3. Step 3: Cross multiply
    1,018.37x = 1,527.55 × 287.94
  4. Step 4: Simplify right side
    1,018.37x = 439,842.75
  5. Step 5: Solve for x
    x = 439,842.75/1,018.37
  6. Step 6: Final answer
    x = 431.91

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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.