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Finding the Fourth Proportional to 1,128.79, 1,696.24 and 581.38

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Solution

The fourth proportional to 1,128.79, 1,696.24 and 581.38 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.79 : 1,696.24 = 581.38 : x
  2. Step 2: Convert to fraction form
    1,128.79/1,696.24 = 581.38/x
  3. Step 3: Cross multiply
    1,128.79x = 1,696.24 × 581.38
  4. Step 4: Simplify right side
    1,128.79x = 986,156.50
  5. Step 5: Solve for x
    x = 986,156.50/1,128.79
  6. Step 6: Final answer
    x = 873.64

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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.