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Finding the Fourth Proportional to 585.21, 877.80 and 277.21

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Solution

The fourth proportional to 585.21, 877.80 and 277.21 is: 415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 877.80 = 277.21 : x
  2. Step 2: Convert to fraction form
    585.21/877.80 = 277.21/x
  3. Step 3: Cross multiply
    585.21x = 877.80 × 277.21
  4. Step 4: Simplify right side
    585.21x = 243,330.55
  5. Step 5: Solve for x
    x = 243,330.55/585.21
  6. Step 6: Final answer
    x = 415.80

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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.