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Finding the Fourth Proportional to 834.71, 1,252.87 and 373.01

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Solution

The fourth proportional to 834.71, 1,252.87 and 373.01 is: 559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,252.87 = 373.01 : x
  2. Step 2: Convert to fraction form
    834.71/1,252.87 = 373.01/x
  3. Step 3: Cross multiply
    834.71x = 1,252.87 × 373.01
  4. Step 4: Simplify right side
    834.71x = 467,325.84
  5. Step 5: Solve for x
    x = 467,325.84/834.71
  6. Step 6: Final answer
    x = 559.87

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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.