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Finding the Fourth Proportional to 582.63, 805.67 and 490.51

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Solution

The fourth proportional to 582.63, 805.67 and 490.51 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 805.67 = 490.51 : x
  2. Step 2: Convert to fraction form
    582.63/805.67 = 490.51/x
  3. Step 3: Cross multiply
    582.63x = 805.67 × 490.51
  4. Step 4: Simplify right side
    582.63x = 395,189.19
  5. Step 5: Solve for x
    x = 395,189.19/582.63
  6. Step 6: Final answer
    x = 678.29

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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.