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Finding the Fourth Proportional to 1,393.42, 2,088.29 and 777.41

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Solution

The fourth proportional to 1,393.42, 2,088.29 and 777.41 is: 1,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.42 : 2,088.29 = 777.41 : x
  2. Step 2: Convert to fraction form
    1,393.42/2,088.29 = 777.41/x
  3. Step 3: Cross multiply
    1,393.42x = 2,088.29 × 777.41
  4. Step 4: Simplify right side
    1,393.42x = 1,623,464.69
  5. Step 5: Solve for x
    x = 1,623,464.69/1,393.42
  6. Step 6: Final answer
    x = 1,165.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.