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Finding the Fourth Proportional to 572.13, 856.13 and 491.94

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Solution

The fourth proportional to 572.13, 856.13 and 491.94 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 856.13 = 491.94 : x
  2. Step 2: Convert to fraction form
    572.13/856.13 = 491.94/x
  3. Step 3: Cross multiply
    572.13x = 856.13 × 491.94
  4. Step 4: Simplify right side
    572.13x = 421,162.13
  5. Step 5: Solve for x
    x = 421,162.13/572.13
  6. Step 6: Final answer
    x = 736.13

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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.