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Finding the Fourth Proportional to 690.84, 1,036.67 and 635.76

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Solution

The fourth proportional to 690.84, 1,036.67 and 635.76 is: 954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,036.67 = 635.76 : x
  2. Step 2: Convert to fraction form
    690.84/1,036.67 = 635.76/x
  3. Step 3: Cross multiply
    690.84x = 1,036.67 × 635.76
  4. Step 4: Simplify right side
    690.84x = 659,070.14
  5. Step 5: Solve for x
    x = 659,070.14/690.84
  6. Step 6: Final answer
    x = 954.01

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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.