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Finding the Fourth Proportional to 491.40, 736.85 and 286.01

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Solution

The fourth proportional to 491.40, 736.85 and 286.01 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 736.85 = 286.01 : x
  2. Step 2: Convert to fraction form
    491.40/736.85 = 286.01/x
  3. Step 3: Cross multiply
    491.40x = 736.85 × 286.01
  4. Step 4: Simplify right side
    491.40x = 210,746.47
  5. Step 5: Solve for x
    x = 210,746.47/491.40
  6. Step 6: Final answer
    x = 428.87

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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.