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Finding the Fourth Proportional to 858.23, 1,285.18 and 424.25

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Solution

The fourth proportional to 858.23, 1,285.18 and 424.25 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.23 : 1,285.18 = 424.25 : x
  2. Step 2: Convert to fraction form
    858.23/1,285.18 = 424.25/x
  3. Step 3: Cross multiply
    858.23x = 1,285.18 × 424.25
  4. Step 4: Simplify right side
    858.23x = 545,237.62
  5. Step 5: Solve for x
    x = 545,237.62/858.23
  6. Step 6: Final answer
    x = 635.30

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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.