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Finding the Fourth Proportional to 738.75, 1,110.15 and 690.59

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Solution

The fourth proportional to 738.75, 1,110.15 and 690.59 is: 1,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,110.15 = 690.59 : x
  2. Step 2: Convert to fraction form
    738.75/1,110.15 = 690.59/x
  3. Step 3: Cross multiply
    738.75x = 1,110.15 × 690.59
  4. Step 4: Simplify right side
    738.75x = 766,652.94
  5. Step 5: Solve for x
    x = 766,652.94/738.75
  6. Step 6: Final answer
    x = 1,037.77

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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.