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Finding the Fourth Proportional to 1,094.42, 1,510.92 and 758.81

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Solution

The fourth proportional to 1,094.42, 1,510.92 and 758.81 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.42 : 1,510.92 = 758.81 : x
  2. Step 2: Convert to fraction form
    1,094.42/1,510.92 = 758.81/x
  3. Step 3: Cross multiply
    1,094.42x = 1,510.92 × 758.81
  4. Step 4: Simplify right side
    1,094.42x = 1,146,497.41
  5. Step 5: Solve for x
    x = 1,146,497.41/1,094.42
  6. Step 6: Final answer
    x = 1,047.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.