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Finding the Fourth Proportional to 582.88, 874.47 and 339.61

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Solution

The fourth proportional to 582.88, 874.47 and 339.61 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 874.47 = 339.61 : x
  2. Step 2: Convert to fraction form
    582.88/874.47 = 339.61/x
  3. Step 3: Cross multiply
    582.88x = 874.47 × 339.61
  4. Step 4: Simplify right side
    582.88x = 296,978.76
  5. Step 5: Solve for x
    x = 296,978.76/582.88
  6. Step 6: Final answer
    x = 509.50

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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.