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Finding the Fourth Proportional to 611.26, 916.54 and 286.32

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Solution

The fourth proportional to 611.26, 916.54 and 286.32 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.26 : 916.54 = 286.32 : x
  2. Step 2: Convert to fraction form
    611.26/916.54 = 286.32/x
  3. Step 3: Cross multiply
    611.26x = 916.54 × 286.32
  4. Step 4: Simplify right side
    611.26x = 262,423.73
  5. Step 5: Solve for x
    x = 262,423.73/611.26
  6. Step 6: Final answer
    x = 429.32

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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.