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Finding the Fourth Proportional to 572.76, 858.78 and 399.06

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Solution

The fourth proportional to 572.76, 858.78 and 399.06 is: 598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 858.78 = 399.06 : x
  2. Step 2: Convert to fraction form
    572.76/858.78 = 399.06/x
  3. Step 3: Cross multiply
    572.76x = 858.78 × 399.06
  4. Step 4: Simplify right side
    572.76x = 342,704.75
  5. Step 5: Solve for x
    x = 342,704.75/572.76
  6. Step 6: Final answer
    x = 598.34

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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.