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Finding the Fourth Proportional to 611.36, 917.34 and 286.76

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Solution

The fourth proportional to 611.36, 917.34 and 286.76 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.36 : 917.34 = 286.76 : x
  2. Step 2: Convert to fraction form
    611.36/917.34 = 286.76/x
  3. Step 3: Cross multiply
    611.36x = 917.34 × 286.76
  4. Step 4: Simplify right side
    611.36x = 263,056.42
  5. Step 5: Solve for x
    x = 263,056.42/611.36
  6. Step 6: Final answer
    x = 430.28

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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.