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Finding the Fourth Proportional to 811.45, 1,117.53 and 706.49

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Solution

The fourth proportional to 811.45, 1,117.53 and 706.49 is: 972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.45 : 1,117.53 = 706.49 : x
  2. Step 2: Convert to fraction form
    811.45/1,117.53 = 706.49/x
  3. Step 3: Cross multiply
    811.45x = 1,117.53 × 706.49
  4. Step 4: Simplify right side
    811.45x = 789,522.37
  5. Step 5: Solve for x
    x = 789,522.37/811.45
  6. Step 6: Final answer
    x = 972.98

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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.