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Finding the Fourth Proportional to 1,017.20, 1,523.32 and 670.18

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Solution

The fourth proportional to 1,017.20, 1,523.32 and 670.18 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.20 : 1,523.32 = 670.18 : x
  2. Step 2: Convert to fraction form
    1,017.20/1,523.32 = 670.18/x
  3. Step 3: Cross multiply
    1,017.20x = 1,523.32 × 670.18
  4. Step 4: Simplify right side
    1,017.20x = 1,020,898.60
  5. Step 5: Solve for x
    x = 1,020,898.60/1,017.20
  6. Step 6: Final answer
    x = 1,003.64

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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.