Home / 1,022.44-1,411.08-624.16

Finding the Fourth Proportional to 1,022.44, 1,411.08 and 624.16

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Solution

The fourth proportional to 1,022.44, 1,411.08 and 624.16 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.44 : 1,411.08 = 624.16 : x
  2. Step 2: Convert to fraction form
    1,022.44/1,411.08 = 624.16/x
  3. Step 3: Cross multiply
    1,022.44x = 1,411.08 × 624.16
  4. Step 4: Simplify right side
    1,022.44x = 880,739.69
  5. Step 5: Solve for x
    x = 880,739.69/1,022.44
  6. Step 6: Final answer
    x = 861.41

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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.