Home / 1,296.29-1,944.89-430.67

Finding the Fourth Proportional to 1,296.29, 1,944.89 and 430.67

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Solution

The fourth proportional to 1,296.29, 1,944.89 and 430.67 is: 646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.29 : 1,944.89 = 430.67 : x
  2. Step 2: Convert to fraction form
    1,296.29/1,944.89 = 430.67/x
  3. Step 3: Cross multiply
    1,296.29x = 1,944.89 × 430.67
  4. Step 4: Simplify right side
    1,296.29x = 837,605.78
  5. Step 5: Solve for x
    x = 837,605.78/1,296.29
  6. Step 6: Final answer
    x = 646.16

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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.