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Finding the Fourth Proportional to 1,094.95, 1,643.72 and 864.00

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Solution

The fourth proportional to 1,094.95, 1,643.72 and 864.00 is: 1,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.95 : 1,643.72 = 864.00 : x
  2. Step 2: Convert to fraction form
    1,094.95/1,643.72 = 864.00/x
  3. Step 3: Cross multiply
    1,094.95x = 1,643.72 × 864.00
  4. Step 4: Simplify right side
    1,094.95x = 1,420,181.67
  5. Step 5: Solve for x
    x = 1,420,181.67/1,094.95
  6. Step 6: Final answer
    x = 1,297.03

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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.