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Finding the Fourth Proportional to 584.81, 876.60 and 260.40

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Solution

The fourth proportional to 584.81, 876.60 and 260.40 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 876.60 = 260.40 : x
  2. Step 2: Convert to fraction form
    584.81/876.60 = 260.40/x
  3. Step 3: Cross multiply
    584.81x = 876.60 × 260.40
  4. Step 4: Simplify right side
    584.81x = 228,266.64
  5. Step 5: Solve for x
    x = 228,266.64/584.81
  6. Step 6: Final answer
    x = 390.33

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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.