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Finding the Fourth Proportional to 436.35, 611.70 and 436.35

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Solution

The fourth proportional to 436.35, 611.70 and 436.35 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.35 : 611.70 = 436.35 : x
  2. Step 2: Convert to fraction form
    436.35/611.70 = 436.35/x
  3. Step 3: Cross multiply
    436.35x = 611.70 × 436.35
  4. Step 4: Simplify right side
    436.35x = 266,915.30
  5. Step 5: Solve for x
    x = 266,915.30/436.35
  6. Step 6: Final answer
    x = 611.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.