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Finding the Fourth Proportional to 558.61, 770.72 and 349.00

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Solution

The fourth proportional to 558.61, 770.72 and 349.00 is: 481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.61 : 770.72 = 349.00 : x
  2. Step 2: Convert to fraction form
    558.61/770.72 = 349.00/x
  3. Step 3: Cross multiply
    558.61x = 770.72 × 349.00
  4. Step 4: Simplify right side
    558.61x = 268,979.89
  5. Step 5: Solve for x
    x = 268,979.89/558.61
  6. Step 6: Final answer
    x = 481.52

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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.