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Finding the Fourth Proportional to 951.84, 1,313.28 and 765.36

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Solution

The fourth proportional to 951.84, 1,313.28 and 765.36 is: 1,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,313.28 = 765.36 : x
  2. Step 2: Convert to fraction form
    951.84/1,313.28 = 765.36/x
  3. Step 3: Cross multiply
    951.84x = 1,313.28 × 765.36
  4. Step 4: Simplify right side
    951.84x = 1,005,131.98
  5. Step 5: Solve for x
    x = 1,005,131.98/951.84
  6. Step 6: Final answer
    x = 1,055.99

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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.