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Finding the Fourth Proportional to 491.42, 737.19 and 400.91

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Solution

The fourth proportional to 491.42, 737.19 and 400.91 is: 601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 737.19 = 400.91 : x
  2. Step 2: Convert to fraction form
    491.42/737.19 = 400.91/x
  3. Step 3: Cross multiply
    491.42x = 737.19 × 400.91
  4. Step 4: Simplify right side
    491.42x = 295,543.16
  5. Step 5: Solve for x
    x = 295,543.16/491.42
  6. Step 6: Final answer
    x = 601.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.