Home / 1,309.25-1,964.08-431.49

Finding the Fourth Proportional to 1,309.25, 1,964.08 and 431.49

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Solution

The fourth proportional to 1,309.25, 1,964.08 and 431.49 is: 647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.25 : 1,964.08 = 431.49 : x
  2. Step 2: Convert to fraction form
    1,309.25/1,964.08 = 431.49/x
  3. Step 3: Cross multiply
    1,309.25x = 1,964.08 × 431.49
  4. Step 4: Simplify right side
    1,309.25x = 847,488.78
  5. Step 5: Solve for x
    x = 847,488.78/1,309.25
  6. Step 6: Final answer
    x = 647.31

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1.5x scale

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.