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Finding the Fourth Proportional to 582.51, 805.01 and 477.43

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Solution

The fourth proportional to 582.51, 805.01 and 477.43 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 805.01 = 477.43 : x
  2. Step 2: Convert to fraction form
    582.51/805.01 = 477.43/x
  3. Step 3: Cross multiply
    582.51x = 805.01 × 477.43
  4. Step 4: Simplify right side
    582.51x = 384,331.90
  5. Step 5: Solve for x
    x = 384,331.90/582.51
  6. Step 6: Final answer
    x = 659.79

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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.