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Finding the Fourth Proportional to 990.24, 1,364.89 and 695.00

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Solution

The fourth proportional to 990.24, 1,364.89 and 695.00 is: 957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.24 : 1,364.89 = 695.00 : x
  2. Step 2: Convert to fraction form
    990.24/1,364.89 = 695.00/x
  3. Step 3: Cross multiply
    990.24x = 1,364.89 × 695.00
  4. Step 4: Simplify right side
    990.24x = 948,588.25
  5. Step 5: Solve for x
    x = 948,588.25/990.24
  6. Step 6: Final answer
    x = 957.94

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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.