Home / 1,309.72-1,964.90-616.24

Finding the Fourth Proportional to 1,309.72, 1,964.90 and 616.24

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Solution

The fourth proportional to 1,309.72, 1,964.90 and 616.24 is: 924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.72 : 1,964.90 = 616.24 : x
  2. Step 2: Convert to fraction form
    1,309.72/1,964.90 = 616.24/x
  3. Step 3: Cross multiply
    1,309.72x = 1,964.90 × 616.24
  4. Step 4: Simplify right side
    1,309.72x = 1,210,849.98
  5. Step 5: Solve for x
    x = 1,210,849.98/1,309.72
  6. Step 6: Final answer
    x = 924.51

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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.