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Finding the Fourth Proportional to 584.99, 877.28 and 260.58

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Solution

The fourth proportional to 584.99, 877.28 and 260.58 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 877.28 = 260.58 : x
  2. Step 2: Convert to fraction form
    584.99/877.28 = 260.58/x
  3. Step 3: Cross multiply
    584.99x = 877.28 × 260.58
  4. Step 4: Simplify right side
    584.99x = 228,600.32
  5. Step 5: Solve for x
    x = 228,600.32/584.99
  6. Step 6: Final answer
    x = 390.78

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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.