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Finding the Fourth Proportional to 1,015.69, 1,514.95 and 984.93

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Solution

The fourth proportional to 1,015.69, 1,514.95 and 984.93 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.69 : 1,514.95 = 984.93 : x
  2. Step 2: Convert to fraction form
    1,015.69/1,514.95 = 984.93/x
  3. Step 3: Cross multiply
    1,015.69x = 1,514.95 × 984.93
  4. Step 4: Simplify right side
    1,015.69x = 1,492,117.10
  5. Step 5: Solve for x
    x = 1,492,117.10/1,015.69
  6. Step 6: Final answer
    x = 1,469.07

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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.