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Finding the Fourth Proportional to 891.02, 1,336.01 and 428.17

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Solution

The fourth proportional to 891.02, 1,336.01 and 428.17 is: 642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.02 : 1,336.01 = 428.17 : x
  2. Step 2: Convert to fraction form
    891.02/1,336.01 = 428.17/x
  3. Step 3: Cross multiply
    891.02x = 1,336.01 × 428.17
  4. Step 4: Simplify right side
    891.02x = 572,037.13
  5. Step 5: Solve for x
    x = 572,037.13/891.02
  6. Step 6: Final answer
    x = 642.01

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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.