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Finding the Fourth Proportional to 690.37, 1,035.77 and 279.61

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Solution

The fourth proportional to 690.37, 1,035.77 and 279.61 is: 419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.37 : 1,035.77 = 279.61 : x
  2. Step 2: Convert to fraction form
    690.37/1,035.77 = 279.61/x
  3. Step 3: Cross multiply
    690.37x = 1,035.77 × 279.61
  4. Step 4: Simplify right side
    690.37x = 289,607.66
  5. Step 5: Solve for x
    x = 289,607.66/690.37
  6. Step 6: Final answer
    x = 419.50

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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.