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Finding the Fourth Proportional to 584.59, 877.15 and 260.05

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Solution

The fourth proportional to 584.59, 877.15 and 260.05 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 877.15 = 260.05 : x
  2. Step 2: Convert to fraction form
    584.59/877.15 = 260.05/x
  3. Step 3: Cross multiply
    584.59x = 877.15 × 260.05
  4. Step 4: Simplify right side
    584.59x = 228,097.82
  5. Step 5: Solve for x
    x = 228,097.82/584.59
  6. Step 6: Final answer
    x = 390.19

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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.