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Finding the Fourth Proportional to 1,017.51, 1,524.87 and 670.32

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Solution

The fourth proportional to 1,017.51, 1,524.87 and 670.32 is: 1,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.51 : 1,524.87 = 670.32 : x
  2. Step 2: Convert to fraction form
    1,017.51/1,524.87 = 670.32/x
  3. Step 3: Cross multiply
    1,017.51x = 1,524.87 × 670.32
  4. Step 4: Simplify right side
    1,017.51x = 1,022,150.86
  5. Step 5: Solve for x
    x = 1,022,150.86/1,017.51
  6. Step 6: Final answer
    x = 1,004.56

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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.