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Finding the Fourth Proportional to 869.73, 1,312.35 and 835.98

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Solution

The fourth proportional to 869.73, 1,312.35 and 835.98 is: 1,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.73 : 1,312.35 = 835.98 : x
  2. Step 2: Convert to fraction form
    869.73/1,312.35 = 835.98/x
  3. Step 3: Cross multiply
    869.73x = 1,312.35 × 835.98
  4. Step 4: Simplify right side
    869.73x = 1,097,098.35
  5. Step 5: Solve for x
    x = 1,097,098.35/869.73
  6. Step 6: Final answer
    x = 1,261.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.