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Finding the Fourth Proportional to 556.64, 834.07 and 282.35

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Solution

The fourth proportional to 556.64, 834.07 and 282.35 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 834.07 = 282.35 : x
  2. Step 2: Convert to fraction form
    556.64/834.07 = 282.35/x
  3. Step 3: Cross multiply
    556.64x = 834.07 × 282.35
  4. Step 4: Simplify right side
    556.64x = 235,495.49
  5. Step 5: Solve for x
    x = 235,495.49/556.64
  6. Step 6: Final answer
    x = 423.07

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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.