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Finding the Fourth Proportional to 1,050.74, 1,576.16 and 588.20

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Solution

The fourth proportional to 1,050.74, 1,576.16 and 588.20 is: 882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.74 : 1,576.16 = 588.20 : x
  2. Step 2: Convert to fraction form
    1,050.74/1,576.16 = 588.20/x
  3. Step 3: Cross multiply
    1,050.74x = 1,576.16 × 588.20
  4. Step 4: Simplify right side
    1,050.74x = 927,088.70
  5. Step 5: Solve for x
    x = 927,088.70/1,050.74
  6. Step 6: Final answer
    x = 882.32

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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.