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Finding the Fourth Proportional to 572.59, 858.69 and 207.31

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Solution

The fourth proportional to 572.59, 858.69 and 207.31 is: 310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.59 : 858.69 = 207.31 : x
  2. Step 2: Convert to fraction form
    572.59/858.69 = 207.31/x
  3. Step 3: Cross multiply
    572.59x = 858.69 × 207.31
  4. Step 4: Simplify right side
    572.59x = 178,015.02
  5. Step 5: Solve for x
    x = 178,015.02/572.59
  6. Step 6: Final answer
    x = 310.89

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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.