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Finding the Fourth Proportional to 858.89, 1,285.53 and 467.91

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Solution

The fourth proportional to 858.89, 1,285.53 and 467.91 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.89 : 1,285.53 = 467.91 : x
  2. Step 2: Convert to fraction form
    858.89/1,285.53 = 467.91/x
  3. Step 3: Cross multiply
    858.89x = 1,285.53 × 467.91
  4. Step 4: Simplify right side
    858.89x = 601,512.34
  5. Step 5: Solve for x
    x = 601,512.34/858.89
  6. Step 6: Final answer
    x = 700.34

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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.