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Finding the Fourth Proportional to 954.33, 1,316.07 and 634.74

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Solution

The fourth proportional to 954.33, 1,316.07 and 634.74 is: 875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.33 : 1,316.07 = 634.74 : x
  2. Step 2: Convert to fraction form
    954.33/1,316.07 = 634.74/x
  3. Step 3: Cross multiply
    954.33x = 1,316.07 × 634.74
  4. Step 4: Simplify right side
    954.33x = 835,362.27
  5. Step 5: Solve for x
    x = 835,362.27/954.33
  6. Step 6: Final answer
    x = 875.34

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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.