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Finding the Fourth Proportional to 1,428.93, 1,971.76 and 807.93

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Solution

The fourth proportional to 1,428.93, 1,971.76 and 807.93 is: 1,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.93 : 1,971.76 = 807.93 : x
  2. Step 2: Convert to fraction form
    1,428.93/1,971.76 = 807.93/x
  3. Step 3: Cross multiply
    1,428.93x = 1,971.76 × 807.93
  4. Step 4: Simplify right side
    1,428.93x = 1,593,044.06
  5. Step 5: Solve for x
    x = 1,593,044.06/1,428.93
  6. Step 6: Final answer
    x = 1,114.85

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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.