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Finding the Fourth Proportional to 966.45, 1,331.58 and 808.50

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Solution

The fourth proportional to 966.45, 1,331.58 and 808.50 is: 1,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.45 : 1,331.58 = 808.50 : x
  2. Step 2: Convert to fraction form
    966.45/1,331.58 = 808.50/x
  3. Step 3: Cross multiply
    966.45x = 1,331.58 × 808.50
  4. Step 4: Simplify right side
    966.45x = 1,076,582.43
  5. Step 5: Solve for x
    x = 1,076,582.43/966.45
  6. Step 6: Final answer
    x = 1,113.96

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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.