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Finding the Fourth Proportional to 1,100.24, 1,518.44 and 652.38

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Solution

The fourth proportional to 1,100.24, 1,518.44 and 652.38 is: 900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.24 : 1,518.44 = 652.38 : x
  2. Step 2: Convert to fraction form
    1,100.24/1,518.44 = 652.38/x
  3. Step 3: Cross multiply
    1,100.24x = 1,518.44 × 652.38
  4. Step 4: Simplify right side
    1,100.24x = 990,599.89
  5. Step 5: Solve for x
    x = 990,599.89/1,100.24
  6. Step 6: Final answer
    x = 900.35

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1.5x scale

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.