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Finding the Fourth Proportional to 582.92, 805.16 and 423.15

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Solution

The fourth proportional to 582.92, 805.16 and 423.15 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 805.16 = 423.15 : x
  2. Step 2: Convert to fraction form
    582.92/805.16 = 423.15/x
  3. Step 3: Cross multiply
    582.92x = 805.16 × 423.15
  4. Step 4: Simplify right side
    582.92x = 340,705.37
  5. Step 5: Solve for x
    x = 340,705.37/582.92
  6. Step 6: Final answer
    x = 584.48

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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.