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Finding the Fourth Proportional to 675.84, 933.76 and 670.96

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Solution

The fourth proportional to 675.84, 933.76 and 670.96 is: 927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 933.76 = 670.96 : x
  2. Step 2: Convert to fraction form
    675.84/933.76 = 670.96/x
  3. Step 3: Cross multiply
    675.84x = 933.76 × 670.96
  4. Step 4: Simplify right side
    675.84x = 626,515.61
  5. Step 5: Solve for x
    x = 626,515.61/675.84
  6. Step 6: Final answer
    x = 927.02

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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.