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Finding the Fourth Proportional to 817.50, 1,223.40 and 770.12

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Solution

The fourth proportional to 817.50, 1,223.40 and 770.12 is: 1,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.50 : 1,223.40 = 770.12 : x
  2. Step 2: Convert to fraction form
    817.50/1,223.40 = 770.12/x
  3. Step 3: Cross multiply
    817.50x = 1,223.40 × 770.12
  4. Step 4: Simplify right side
    817.50x = 942,164.81
  5. Step 5: Solve for x
    x = 942,164.81/817.50
  6. Step 6: Final answer
    x = 1,152.50

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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.