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Finding the Fourth Proportional to 1,402.84, 1,935.69 and 813.26

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Solution

The fourth proportional to 1,402.84, 1,935.69 and 813.26 is: 1,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.84 : 1,935.69 = 813.26 : x
  2. Step 2: Convert to fraction form
    1,402.84/1,935.69 = 813.26/x
  3. Step 3: Cross multiply
    1,402.84x = 1,935.69 × 813.26
  4. Step 4: Simplify right side
    1,402.84x = 1,574,219.25
  5. Step 5: Solve for x
    x = 1,574,219.25/1,402.84
  6. Step 6: Final answer
    x = 1,122.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.