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Finding the Fourth Proportional to 947.25, 1,307.22 and 574.23

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Solution

The fourth proportional to 947.25, 1,307.22 and 574.23 is: 792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,307.22 = 574.23 : x
  2. Step 2: Convert to fraction form
    947.25/1,307.22 = 574.23/x
  3. Step 3: Cross multiply
    947.25x = 1,307.22 × 574.23
  4. Step 4: Simplify right side
    947.25x = 750,644.94
  5. Step 5: Solve for x
    x = 750,644.94/947.25
  6. Step 6: Final answer
    x = 792.45

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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.