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Finding the Fourth Proportional to 947.04, 1,307.16 and 843.36

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Solution

The fourth proportional to 947.04, 1,307.16 and 843.36 is: 1,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,307.16 = 843.36 : x
  2. Step 2: Convert to fraction form
    947.04/1,307.16 = 843.36/x
  3. Step 3: Cross multiply
    947.04x = 1,307.16 × 843.36
  4. Step 4: Simplify right side
    947.04x = 1,102,406.46
  5. Step 5: Solve for x
    x = 1,102,406.46/947.04
  6. Step 6: Final answer
    x = 1,164.05

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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.