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Finding the Fourth Proportional to 573.98, 856.61 and 559.40

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Solution

The fourth proportional to 573.98, 856.61 and 559.40 is: 834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 856.61 = 559.40 : x
  2. Step 2: Convert to fraction form
    573.98/856.61 = 559.40/x
  3. Step 3: Cross multiply
    573.98x = 856.61 × 559.40
  4. Step 4: Simplify right side
    573.98x = 479,187.63
  5. Step 5: Solve for x
    x = 479,187.63/573.98
  6. Step 6: Final answer
    x = 834.85

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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.