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Finding the Fourth Proportional to 850.46, 1,265.76 and 841.01

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Solution

The fourth proportional to 850.46, 1,265.76 and 841.01 is: 1,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.46 : 1,265.76 = 841.01 : x
  2. Step 2: Convert to fraction form
    850.46/1,265.76 = 841.01/x
  3. Step 3: Cross multiply
    850.46x = 1,265.76 × 841.01
  4. Step 4: Simplify right side
    850.46x = 1,064,510.49
  5. Step 5: Solve for x
    x = 1,064,510.49/850.46
  6. Step 6: Final answer
    x = 1,251.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.