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Finding the Fourth Proportional to 837.40, 1,256.21 and 426.32

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Solution

The fourth proportional to 837.40, 1,256.21 and 426.32 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.40 : 1,256.21 = 426.32 : x
  2. Step 2: Convert to fraction form
    837.40/1,256.21 = 426.32/x
  3. Step 3: Cross multiply
    837.40x = 1,256.21 × 426.32
  4. Step 4: Simplify right side
    837.40x = 535,547.45
  5. Step 5: Solve for x
    x = 535,547.45/837.40
  6. Step 6: Final answer
    x = 639.54

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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.