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Finding the Fourth Proportional to 491.36, 735.35 and 387.77

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Solution

The fourth proportional to 491.36, 735.35 and 387.77 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.36 : 735.35 = 387.77 : x
  2. Step 2: Convert to fraction form
    491.36/735.35 = 387.77/x
  3. Step 3: Cross multiply
    491.36x = 735.35 × 387.77
  4. Step 4: Simplify right side
    491.36x = 285,141.05
  5. Step 5: Solve for x
    x = 285,141.05/491.36
  6. Step 6: Final answer
    x = 580.32

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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.