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Finding the Fourth Proportional to 491.70, 737.54 and 309.22

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Solution

The fourth proportional to 491.70, 737.54 and 309.22 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 737.54 = 309.22 : x
  2. Step 2: Convert to fraction form
    491.70/737.54 = 309.22/x
  3. Step 3: Cross multiply
    491.70x = 737.54 × 309.22
  4. Step 4: Simplify right side
    491.70x = 228,061.19
  5. Step 5: Solve for x
    x = 228,061.19/491.70
  6. Step 6: Final answer
    x = 463.83

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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.