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Finding the Fourth Proportional to 823.50, 1,232.40 and 776.10

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Solution

The fourth proportional to 823.50, 1,232.40 and 776.10 is: 1,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,232.40 = 776.10 : x
  2. Step 2: Convert to fraction form
    823.50/1,232.40 = 776.10/x
  3. Step 3: Cross multiply
    823.50x = 1,232.40 × 776.10
  4. Step 4: Simplify right side
    823.50x = 956,465.64
  5. Step 5: Solve for x
    x = 956,465.64/823.50
  6. Step 6: Final answer
    x = 1,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.