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Finding the Fourth Proportional to 1,128.15, 1,689.21 and 580.50

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Solution

The fourth proportional to 1,128.15, 1,689.21 and 580.50 is: 869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.15 : 1,689.21 = 580.50 : x
  2. Step 2: Convert to fraction form
    1,128.15/1,689.21 = 580.50/x
  3. Step 3: Cross multiply
    1,128.15x = 1,689.21 × 580.50
  4. Step 4: Simplify right side
    1,128.15x = 980,586.41
  5. Step 5: Solve for x
    x = 980,586.41/1,128.15
  6. Step 6: Final answer
    x = 869.20

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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.