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Finding the Fourth Proportional to 611.86, 916.35 and 490.27

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Solution

The fourth proportional to 611.86, 916.35 and 490.27 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.86 : 916.35 = 490.27 : x
  2. Step 2: Convert to fraction form
    611.86/916.35 = 490.27/x
  3. Step 3: Cross multiply
    611.86x = 916.35 × 490.27
  4. Step 4: Simplify right side
    611.86x = 449,258.91
  5. Step 5: Solve for x
    x = 449,258.91/611.86
  6. Step 6: Final answer
    x = 734.25

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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.