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Finding the Fourth Proportional to 556.89, 834.93 and 460.50

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Solution

The fourth proportional to 556.89, 834.93 and 460.50 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 834.93 = 460.50 : x
  2. Step 2: Convert to fraction form
    556.89/834.93 = 460.50/x
  3. Step 3: Cross multiply
    556.89x = 834.93 × 460.50
  4. Step 4: Simplify right side
    556.89x = 384,485.27
  5. Step 5: Solve for x
    x = 384,485.27/556.89
  6. Step 6: Final answer
    x = 690.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.