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Finding the Fourth Proportional to 841.70, 1,262.55 and 828.20

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Solution

The fourth proportional to 841.70, 1,262.55 and 828.20 is: 1,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.70 : 1,262.55 = 828.20 : x
  2. Step 2: Convert to fraction form
    841.70/1,262.55 = 828.20/x
  3. Step 3: Cross multiply
    841.70x = 1,262.55 × 828.20
  4. Step 4: Simplify right side
    841.70x = 1,045,643.91
  5. Step 5: Solve for x
    x = 1,045,643.91/841.70
  6. Step 6: Final answer
    x = 1,242.30

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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.