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Finding the Fourth Proportional to 1,100.48, 1,650.08 and 416.32

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Solution

The fourth proportional to 1,100.48, 1,650.08 and 416.32 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.48 : 1,650.08 = 416.32 : x
  2. Step 2: Convert to fraction form
    1,100.48/1,650.08 = 416.32/x
  3. Step 3: Cross multiply
    1,100.48x = 1,650.08 × 416.32
  4. Step 4: Simplify right side
    1,100.48x = 686,961.31
  5. Step 5: Solve for x
    x = 686,961.31/1,100.48
  6. Step 6: Final answer
    x = 624.24

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1.5x scale

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.