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Finding the Fourth Proportional to 893.76, 1,230.44 and 777.26

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Solution

The fourth proportional to 893.76, 1,230.44 and 777.26 is: 1,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.76 : 1,230.44 = 777.26 : x
  2. Step 2: Convert to fraction form
    893.76/1,230.44 = 777.26/x
  3. Step 3: Cross multiply
    893.76x = 1,230.44 × 777.26
  4. Step 4: Simplify right side
    893.76x = 956,371.79
  5. Step 5: Solve for x
    x = 956,371.79/893.76
  6. Step 6: Final answer
    x = 1,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.