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Finding the Fourth Proportional to 912.36, 1,258.59 and 580.21

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Solution

The fourth proportional to 912.36, 1,258.59 and 580.21 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.36 : 1,258.59 = 580.21 : x
  2. Step 2: Convert to fraction form
    912.36/1,258.59 = 580.21/x
  3. Step 3: Cross multiply
    912.36x = 1,258.59 × 580.21
  4. Step 4: Simplify right side
    912.36x = 730,249.35
  5. Step 5: Solve for x
    x = 730,249.35/912.36
  6. Step 6: Final answer
    x = 800.39

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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.