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Finding the Fourth Proportional to 952.83, 1,314.47 and 621.14

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Solution

The fourth proportional to 952.83, 1,314.47 and 621.14 is: 856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.83 : 1,314.47 = 621.14 : x
  2. Step 2: Convert to fraction form
    952.83/1,314.47 = 621.14/x
  3. Step 3: Cross multiply
    952.83x = 1,314.47 × 621.14
  4. Step 4: Simplify right side
    952.83x = 816,460.22
  5. Step 5: Solve for x
    x = 816,460.22/952.83
  6. Step 6: Final answer
    x = 856.88

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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.