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Finding the Fourth Proportional to 942.36, 1,300.59 and 784.77

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Solution

The fourth proportional to 942.36, 1,300.59 and 784.77 is: 1,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.36 : 1,300.59 = 784.77 : x
  2. Step 2: Convert to fraction form
    942.36/1,300.59 = 784.77/x
  3. Step 3: Cross multiply
    942.36x = 1,300.59 × 784.77
  4. Step 4: Simplify right side
    942.36x = 1,020,664.01
  5. Step 5: Solve for x
    x = 1,020,664.01/942.36
  6. Step 6: Final answer
    x = 1,083.09

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