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Finding the Fourth Proportional to 858.52, 1,287.00 and 310.57

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Solution

The fourth proportional to 858.52, 1,287.00 and 310.57 is: 465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.52 : 1,287.00 = 310.57 : x
  2. Step 2: Convert to fraction form
    858.52/1,287.00 = 310.57/x
  3. Step 3: Cross multiply
    858.52x = 1,287.00 × 310.57
  4. Step 4: Simplify right side
    858.52x = 399,706.24
  5. Step 5: Solve for x
    x = 399,706.24/858.52
  6. Step 6: Final answer
    x = 465.57

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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.