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Finding the Fourth Proportional to 1,307.50, 1,804.44 and 864.64

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Solution

The fourth proportional to 1,307.50, 1,804.44 and 864.64 is: 1,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.50 : 1,804.44 = 864.64 : x
  2. Step 2: Convert to fraction form
    1,307.50/1,804.44 = 864.64/x
  3. Step 3: Cross multiply
    1,307.50x = 1,804.44 × 864.64
  4. Step 4: Simplify right side
    1,307.50x = 1,560,191.00
  5. Step 5: Solve for x
    x = 1,560,191.00/1,307.50
  6. Step 6: Final answer
    x = 1,193.26

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Why These Related Problems?

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