Home / 1,309.80-1,964.76-432.30

Finding the Fourth Proportional to 1,309.80, 1,964.76 and 432.30

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Solution

The fourth proportional to 1,309.80, 1,964.76 and 432.30 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.80 : 1,964.76 = 432.30 : x
  2. Step 2: Convert to fraction form
    1,309.80/1,964.76 = 432.30/x
  3. Step 3: Cross multiply
    1,309.80x = 1,964.76 × 432.30
  4. Step 4: Simplify right side
    1,309.80x = 849,365.75
  5. Step 5: Solve for x
    x = 849,365.75/1,309.80
  6. Step 6: Final answer
    x = 648.47

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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.