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Finding the Fourth Proportional to 1,015.78, 1,514.93 and 917.36

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Solution

The fourth proportional to 1,015.78, 1,514.93 and 917.36 is: 1,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.78 : 1,514.93 = 917.36 : x
  2. Step 2: Convert to fraction form
    1,015.78/1,514.93 = 917.36/x
  3. Step 3: Cross multiply
    1,015.78x = 1,514.93 × 917.36
  4. Step 4: Simplify right side
    1,015.78x = 1,389,736.18
  5. Step 5: Solve for x
    x = 1,389,736.18/1,015.78
  6. Step 6: Final answer
    x = 1,368.15

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1.5x scale

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.