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Finding the Fourth Proportional to 611.18, 917.16 and 286.82

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Solution

The fourth proportional to 611.18, 917.16 and 286.82 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.18 : 917.16 = 286.82 : x
  2. Step 2: Convert to fraction form
    611.18/917.16 = 286.82/x
  3. Step 3: Cross multiply
    611.18x = 917.16 × 286.82
  4. Step 4: Simplify right side
    611.18x = 263,059.83
  5. Step 5: Solve for x
    x = 263,059.83/611.18
  6. Step 6: Final answer
    x = 430.41

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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.