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Finding the Fourth Proportional to 690.88, 953.84 and 513.65

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Solution

The fourth proportional to 690.88, 953.84 and 513.65 is: 709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 953.84 = 513.65 : x
  2. Step 2: Convert to fraction form
    690.88/953.84 = 513.65/x
  3. Step 3: Cross multiply
    690.88x = 953.84 × 513.65
  4. Step 4: Simplify right side
    690.88x = 489,936.43
  5. Step 5: Solve for x
    x = 489,936.43/690.88
  6. Step 6: Final answer
    x = 709.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.