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Finding the Fourth Proportional to 858.57, 1,287.28 and 694.24

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Solution

The fourth proportional to 858.57, 1,287.28 and 694.24 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,287.28 = 694.24 : x
  2. Step 2: Convert to fraction form
    858.57/1,287.28 = 694.24/x
  3. Step 3: Cross multiply
    858.57x = 1,287.28 × 694.24
  4. Step 4: Simplify right side
    858.57x = 893,681.27
  5. Step 5: Solve for x
    x = 893,681.27/858.57
  6. Step 6: Final answer
    x = 1,040.90

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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.