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Finding the Fourth Proportional to 584.95, 877.41 and 256.21

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Solution

The fourth proportional to 584.95, 877.41 and 256.21 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.95 : 877.41 = 256.21 : x
  2. Step 2: Convert to fraction form
    584.95/877.41 = 256.21/x
  3. Step 3: Cross multiply
    584.95x = 877.41 × 256.21
  4. Step 4: Simplify right side
    584.95x = 224,796.83
  5. Step 5: Solve for x
    x = 224,796.83/584.95
  6. Step 6: Final answer
    x = 384.30

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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.