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Finding the Fourth Proportional to 1,015.16, 1,400.82 and 666.20

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Solution

The fourth proportional to 1,015.16, 1,400.82 and 666.20 is: 919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,400.82 = 666.20 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,400.82 = 666.20/x
  3. Step 3: Cross multiply
    1,015.16x = 1,400.82 × 666.20
  4. Step 4: Simplify right side
    1,015.16x = 933,226.28
  5. Step 5: Solve for x
    x = 933,226.28/1,015.16
  6. Step 6: Final answer
    x = 919.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.