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Finding the Fourth Proportional to 491.30, 736.71 and 285.93

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Solution

The fourth proportional to 491.30, 736.71 and 285.93 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.30 : 736.71 = 285.93 : x
  2. Step 2: Convert to fraction form
    491.30/736.71 = 285.93/x
  3. Step 3: Cross multiply
    491.30x = 736.71 × 285.93
  4. Step 4: Simplify right side
    491.30x = 210,647.49
  5. Step 5: Solve for x
    x = 210,647.49/491.30
  6. Step 6: Final answer
    x = 428.76

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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.