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Finding the Fourth Proportional to 1,298.15, 1,791.50 and 738.67

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Solution

The fourth proportional to 1,298.15, 1,791.50 and 738.67 is: 1,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.15 : 1,791.50 = 738.67 : x
  2. Step 2: Convert to fraction form
    1,298.15/1,791.50 = 738.67/x
  3. Step 3: Cross multiply
    1,298.15x = 1,791.50 × 738.67
  4. Step 4: Simplify right side
    1,298.15x = 1,323,319.13
  5. Step 5: Solve for x
    x = 1,323,319.13/1,298.15
  6. Step 6: Final answer
    x = 1,019.39

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1.5x scale

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.