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Finding the Fourth Proportional to 1,011.91, 1,509.93 and 949.99

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Solution

The fourth proportional to 1,011.91, 1,509.93 and 949.99 is: 1,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.91 : 1,509.93 = 949.99 : x
  2. Step 2: Convert to fraction form
    1,011.91/1,509.93 = 949.99/x
  3. Step 3: Cross multiply
    1,011.91x = 1,509.93 × 949.99
  4. Step 4: Simplify right side
    1,011.91x = 1,434,418.40
  5. Step 5: Solve for x
    x = 1,434,418.40/1,011.91
  6. Step 6: Final answer
    x = 1,417.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.