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Finding the Fourth Proportional to 947.12, 1,307.09 and 574.11

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Solution

The fourth proportional to 947.12, 1,307.09 and 574.11 is: 792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.12 : 1,307.09 = 574.11 : x
  2. Step 2: Convert to fraction form
    947.12/1,307.09 = 574.11/x
  3. Step 3: Cross multiply
    947.12x = 1,307.09 × 574.11
  4. Step 4: Simplify right side
    947.12x = 750,410.57
  5. Step 5: Solve for x
    x = 750,410.57/947.12
  6. Step 6: Final answer
    x = 792.31

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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.