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Finding the Fourth Proportional to 582.79, 803.51 and 477.49

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Solution

The fourth proportional to 582.79, 803.51 and 477.49 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 803.51 = 477.49 : x
  2. Step 2: Convert to fraction form
    582.79/803.51 = 477.49/x
  3. Step 3: Cross multiply
    582.79x = 803.51 × 477.49
  4. Step 4: Simplify right side
    582.79x = 383,665.60
  5. Step 5: Solve for x
    x = 383,665.60/582.79
  6. Step 6: Final answer
    x = 658.33

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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.