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Finding the Fourth Proportional to 584.20, 867.65 and 573.40

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Solution

The fourth proportional to 584.20, 867.65 and 573.40 is: 851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 867.65 = 573.40 : x
  2. Step 2: Convert to fraction form
    584.20/867.65 = 573.40/x
  3. Step 3: Cross multiply
    584.20x = 867.65 × 573.40
  4. Step 4: Simplify right side
    584.20x = 497,510.51
  5. Step 5: Solve for x
    x = 497,510.51/584.20
  6. Step 6: Final answer
    x = 851.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.