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Finding the Fourth Proportional to 876.68, 1,307.36 and 828.15

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Solution

The fourth proportional to 876.68, 1,307.36 and 828.15 is: 1,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,307.36 = 828.15 : x
  2. Step 2: Convert to fraction form
    876.68/1,307.36 = 828.15/x
  3. Step 3: Cross multiply
    876.68x = 1,307.36 × 828.15
  4. Step 4: Simplify right side
    876.68x = 1,082,690.18
  5. Step 5: Solve for x
    x = 1,082,690.18/876.68
  6. Step 6: Final answer
    x = 1,234.99

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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.