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Finding the Fourth Proportional to 690.94, 1,030.81 and 634.50

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Solution

The fourth proportional to 690.94, 1,030.81 and 634.50 is: 946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 1,030.81 = 634.50 : x
  2. Step 2: Convert to fraction form
    690.94/1,030.81 = 634.50/x
  3. Step 3: Cross multiply
    690.94x = 1,030.81 × 634.50
  4. Step 4: Simplify right side
    690.94x = 654,048.95
  5. Step 5: Solve for x
    x = 654,048.95/690.94
  6. Step 6: Final answer
    x = 946.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.