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Finding the Fourth Proportional to 1,007.42, 1,510.94 and 276.84

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Solution

The fourth proportional to 1,007.42, 1,510.94 and 276.84 is: 415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.42 : 1,510.94 = 276.84 : x
  2. Step 2: Convert to fraction form
    1,007.42/1,510.94 = 276.84/x
  3. Step 3: Cross multiply
    1,007.42x = 1,510.94 × 276.84
  4. Step 4: Simplify right side
    1,007.42x = 418,287.25
  5. Step 5: Solve for x
    x = 418,287.25/1,007.42
  6. Step 6: Final answer
    x = 415.21

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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.