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Finding the Fourth Proportional to 947.68, 1,307.36 and 653.36

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Solution

The fourth proportional to 947.68, 1,307.36 and 653.36 is: 901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.68 : 1,307.36 = 653.36 : x
  2. Step 2: Convert to fraction form
    947.68/1,307.36 = 653.36/x
  3. Step 3: Cross multiply
    947.68x = 1,307.36 × 653.36
  4. Step 4: Simplify right side
    947.68x = 854,176.73
  5. Step 5: Solve for x
    x = 854,176.73/947.68
  6. Step 6: Final answer
    x = 901.33

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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.