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Finding the Fourth Proportional to 582.80, 877.72 and 550.40

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Solution

The fourth proportional to 582.80, 877.72 and 550.40 is: 828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 877.72 = 550.40 : x
  2. Step 2: Convert to fraction form
    582.80/877.72 = 550.40/x
  3. Step 3: Cross multiply
    582.80x = 877.72 × 550.40
  4. Step 4: Simplify right side
    582.80x = 483,097.09
  5. Step 5: Solve for x
    x = 483,097.09/582.80
  6. Step 6: Final answer
    x = 828.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.