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Finding the Fourth Proportional to 947.72, 1,307.86 and 533.72

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Solution

The fourth proportional to 947.72, 1,307.86 and 533.72 is: 736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,307.86 = 533.72 : x
  2. Step 2: Convert to fraction form
    947.72/1,307.86 = 533.72/x
  3. Step 3: Cross multiply
    947.72x = 1,307.86 × 533.72
  4. Step 4: Simplify right side
    947.72x = 698,032.97
  5. Step 5: Solve for x
    x = 698,032.97/947.72
  6. Step 6: Final answer
    x = 736.54

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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.