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Finding the Fourth Proportional to 582.86, 804.12 and 405.92

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Solution

The fourth proportional to 582.86, 804.12 and 405.92 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 804.12 = 405.92 : x
  2. Step 2: Convert to fraction form
    582.86/804.12 = 405.92/x
  3. Step 3: Cross multiply
    582.86x = 804.12 × 405.92
  4. Step 4: Simplify right side
    582.86x = 326,408.39
  5. Step 5: Solve for x
    x = 326,408.39/582.86
  6. Step 6: Final answer
    x = 560.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.