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Finding the Fourth Proportional to 804.96, 1,110.20 and 706.50

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Solution

The fourth proportional to 804.96, 1,110.20 and 706.50 is: 974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,110.20 = 706.50 : x
  2. Step 2: Convert to fraction form
    804.96/1,110.20 = 706.50/x
  3. Step 3: Cross multiply
    804.96x = 1,110.20 × 706.50
  4. Step 4: Simplify right side
    804.96x = 784,352.77
  5. Step 5: Solve for x
    x = 784,352.77/804.96
  6. Step 6: Final answer
    x = 974.40

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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.