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Finding the Fourth Proportional to 872.19, 1,307.48 and 690.75

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Solution

The fourth proportional to 872.19, 1,307.48 and 690.75 is: 1,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.19 : 1,307.48 = 690.75 : x
  2. Step 2: Convert to fraction form
    872.19/1,307.48 = 690.75/x
  3. Step 3: Cross multiply
    872.19x = 1,307.48 × 690.75
  4. Step 4: Simplify right side
    872.19x = 903,138.36
  5. Step 5: Solve for x
    x = 903,138.36/872.19
  6. Step 6: Final answer
    x = 1,035.48

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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.