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Finding the Fourth Proportional to 584.48, 875.27 and 340.27

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Solution

The fourth proportional to 584.48, 875.27 and 340.27 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 875.27 = 340.27 : x
  2. Step 2: Convert to fraction form
    584.48/875.27 = 340.27/x
  3. Step 3: Cross multiply
    584.48x = 875.27 × 340.27
  4. Step 4: Simplify right side
    584.48x = 297,826.79
  5. Step 5: Solve for x
    x = 297,826.79/584.48
  6. Step 6: Final answer
    x = 509.56

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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.