Home / 1,309.24-1,964.15-431.71

Finding the Fourth Proportional to 1,309.24, 1,964.15 and 431.71

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Solution

The fourth proportional to 1,309.24, 1,964.15 and 431.71 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.24 : 1,964.15 = 431.71 : x
  2. Step 2: Convert to fraction form
    1,309.24/1,964.15 = 431.71/x
  3. Step 3: Cross multiply
    1,309.24x = 1,964.15 × 431.71
  4. Step 4: Simplify right side
    1,309.24x = 847,931.22
  5. Step 5: Solve for x
    x = 847,931.22/1,309.24
  6. Step 6: Final answer
    x = 647.65

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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.