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Finding the Fourth Proportional to 572.07, 856.76 and 398.91

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Solution

The fourth proportional to 572.07, 856.76 and 398.91 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.07 : 856.76 = 398.91 : x
  2. Step 2: Convert to fraction form
    572.07/856.76 = 398.91/x
  3. Step 3: Cross multiply
    572.07x = 856.76 × 398.91
  4. Step 4: Simplify right side
    572.07x = 341,768.14
  5. Step 5: Solve for x
    x = 341,768.14/572.07
  6. Step 6: Final answer
    x = 597.42

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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.