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Finding the Fourth Proportional to 690.84, 1,036.05 and 366.03

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Solution

The fourth proportional to 690.84, 1,036.05 and 366.03 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,036.05 = 366.03 : x
  2. Step 2: Convert to fraction form
    690.84/1,036.05 = 366.03/x
  3. Step 3: Cross multiply
    690.84x = 1,036.05 × 366.03
  4. Step 4: Simplify right side
    690.84x = 379,225.38
  5. Step 5: Solve for x
    x = 379,225.38/690.84
  6. Step 6: Final answer
    x = 548.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.