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Finding the Fourth Proportional to 539.70, 805.71 and 457.67

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Solution

The fourth proportional to 539.70, 805.71 and 457.67 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 805.71 = 457.67 : x
  2. Step 2: Convert to fraction form
    539.70/805.71 = 457.67/x
  3. Step 3: Cross multiply
    539.70x = 805.71 × 457.67
  4. Step 4: Simplify right side
    539.70x = 368,745.27
  5. Step 5: Solve for x
    x = 368,745.27/539.70
  6. Step 6: Final answer
    x = 683.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.