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Finding the Fourth Proportional to 963.90, 1,328.69 and 807.06

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Solution

The fourth proportional to 963.90, 1,328.69 and 807.06 is: 1,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.90 : 1,328.69 = 807.06 : x
  2. Step 2: Convert to fraction form
    963.90/1,328.69 = 807.06/x
  3. Step 3: Cross multiply
    963.90x = 1,328.69 × 807.06
  4. Step 4: Simplify right side
    963.90x = 1,072,328.52
  5. Step 5: Solve for x
    x = 1,072,328.52/963.90
  6. Step 6: Final answer
    x = 1,112.49

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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.