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Finding the Fourth Proportional to 1,239.06, 1,858.98 and 777.16

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Solution

The fourth proportional to 1,239.06, 1,858.98 and 777.16 is: 1,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.06 : 1,858.98 = 777.16 : x
  2. Step 2: Convert to fraction form
    1,239.06/1,858.98 = 777.16/x
  3. Step 3: Cross multiply
    1,239.06x = 1,858.98 × 777.16
  4. Step 4: Simplify right side
    1,239.06x = 1,444,724.90
  5. Step 5: Solve for x
    x = 1,444,724.90/1,239.06
  6. Step 6: Final answer
    x = 1,165.98

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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.