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Finding the Fourth Proportional to 1,050.76, 1,576.06 and 530.92

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Solution

The fourth proportional to 1,050.76, 1,576.06 and 530.92 is: 796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.76 : 1,576.06 = 530.92 : x
  2. Step 2: Convert to fraction form
    1,050.76/1,576.06 = 530.92/x
  3. Step 3: Cross multiply
    1,050.76x = 1,576.06 × 530.92
  4. Step 4: Simplify right side
    1,050.76x = 836,761.78
  5. Step 5: Solve for x
    x = 836,761.78/1,050.76
  6. Step 6: Final answer
    x = 796.34

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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.