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Finding the Fourth Proportional to 1,094.00, 1,509.93 and 860.72

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Solution

The fourth proportional to 1,094.00, 1,509.93 and 860.72 is: 1,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.00 : 1,509.93 = 860.72 : x
  2. Step 2: Convert to fraction form
    1,094.00/1,509.93 = 860.72/x
  3. Step 3: Cross multiply
    1,094.00x = 1,509.93 × 860.72
  4. Step 4: Simplify right side
    1,094.00x = 1,299,619.40
  5. Step 5: Solve for x
    x = 1,299,619.40/1,094.00
  6. Step 6: Final answer
    x = 1,187.96

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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.