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Finding the Fourth Proportional to 491.76, 737.50 and 286.44

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Solution

The fourth proportional to 491.76, 737.50 and 286.44 is: 429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 737.50 = 286.44 : x
  2. Step 2: Convert to fraction form
    491.76/737.50 = 286.44/x
  3. Step 3: Cross multiply
    491.76x = 737.50 × 286.44
  4. Step 4: Simplify right side
    491.76x = 211,249.50
  5. Step 5: Solve for x
    x = 211,249.50/491.76
  6. Step 6: Final answer
    x = 429.58

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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.