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Finding the Fourth Proportional to 816.23, 1,218.62 and 706.40

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Solution

The fourth proportional to 816.23, 1,218.62 and 706.40 is: 1,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.23 : 1,218.62 = 706.40 : x
  2. Step 2: Convert to fraction form
    816.23/1,218.62 = 706.40/x
  3. Step 3: Cross multiply
    816.23x = 1,218.62 × 706.40
  4. Step 4: Simplify right side
    816.23x = 860,823.54
  5. Step 5: Solve for x
    x = 860,823.54/816.23
  6. Step 6: Final answer
    x = 1,054.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.