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Finding the Fourth Proportional to 572.51, 858.38 and 377.27

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Solution

The fourth proportional to 572.51, 858.38 and 377.27 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.51 : 858.38 = 377.27 : x
  2. Step 2: Convert to fraction form
    572.51/858.38 = 377.27/x
  3. Step 3: Cross multiply
    572.51x = 858.38 × 377.27
  4. Step 4: Simplify right side
    572.51x = 323,841.02
  5. Step 5: Solve for x
    x = 323,841.02/572.51
  6. Step 6: Final answer
    x = 565.65

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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.