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Finding the Fourth Proportional to 558.33, 770.34 and 334.33

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Solution

The fourth proportional to 558.33, 770.34 and 334.33 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.33 : 770.34 = 334.33 : x
  2. Step 2: Convert to fraction form
    558.33/770.34 = 334.33/x
  3. Step 3: Cross multiply
    558.33x = 770.34 × 334.33
  4. Step 4: Simplify right side
    558.33x = 257,547.10
  5. Step 5: Solve for x
    x = 257,547.10/558.33
  6. Step 6: Final answer
    x = 461.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.