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Finding the Fourth Proportional to 942.73, 1,301.16 and 628.02

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Solution

The fourth proportional to 942.73, 1,301.16 and 628.02 is: 866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.73 : 1,301.16 = 628.02 : x
  2. Step 2: Convert to fraction form
    942.73/1,301.16 = 628.02/x
  3. Step 3: Cross multiply
    942.73x = 1,301.16 × 628.02
  4. Step 4: Simplify right side
    942.73x = 817,154.50
  5. Step 5: Solve for x
    x = 817,154.50/942.73
  6. Step 6: Final answer
    x = 866.80

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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.