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Finding the Fourth Proportional to 923.57, 1,383.20 and 777.77

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Solution

The fourth proportional to 923.57, 1,383.20 and 777.77 is: 1,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,383.20 = 777.77 : x
  2. Step 2: Convert to fraction form
    923.57/1,383.20 = 777.77/x
  3. Step 3: Cross multiply
    923.57x = 1,383.20 × 777.77
  4. Step 4: Simplify right side
    923.57x = 1,075,807.58
  5. Step 5: Solve for x
    x = 1,075,807.58/923.57
  6. Step 6: Final answer
    x = 1,164.84

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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.