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Finding the Fourth Proportional to 584.75, 877.26 and 307.11

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Solution

The fourth proportional to 584.75, 877.26 and 307.11 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 877.26 = 307.11 : x
  2. Step 2: Convert to fraction form
    584.75/877.26 = 307.11/x
  3. Step 3: Cross multiply
    584.75x = 877.26 × 307.11
  4. Step 4: Simplify right side
    584.75x = 269,415.32
  5. Step 5: Solve for x
    x = 269,415.32/584.75
  6. Step 6: Final answer
    x = 460.74

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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.