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Finding the Fourth Proportional to 582.83, 805.47 and 477.75

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Solution

The fourth proportional to 582.83, 805.47 and 477.75 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 805.47 = 477.75 : x
  2. Step 2: Convert to fraction form
    582.83/805.47 = 477.75/x
  3. Step 3: Cross multiply
    582.83x = 805.47 × 477.75
  4. Step 4: Simplify right side
    582.83x = 384,814.52
  5. Step 5: Solve for x
    x = 384,814.52/582.83
  6. Step 6: Final answer
    x = 660.25

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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.