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Finding the Fourth Proportional to 611.33, 913.50 and 464.27

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Solution

The fourth proportional to 611.33, 913.50 and 464.27 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.33 : 913.50 = 464.27 : x
  2. Step 2: Convert to fraction form
    611.33/913.50 = 464.27/x
  3. Step 3: Cross multiply
    611.33x = 913.50 × 464.27
  4. Step 4: Simplify right side
    611.33x = 424,106.08
  5. Step 5: Solve for x
    x = 424,106.08/611.33
  6. Step 6: Final answer
    x = 693.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.