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Finding the Fourth Proportional to 828.05, 1,239.59 and 461.93

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Solution

The fourth proportional to 828.05, 1,239.59 and 461.93 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.05 : 1,239.59 = 461.93 : x
  2. Step 2: Convert to fraction form
    828.05/1,239.59 = 461.93/x
  3. Step 3: Cross multiply
    828.05x = 1,239.59 × 461.93
  4. Step 4: Simplify right side
    828.05x = 572,598.77
  5. Step 5: Solve for x
    x = 572,598.77/828.05
  6. Step 6: Final answer
    x = 691.51

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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.