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Finding the Fourth Proportional to 558.04, 770.44 and 345.38

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Solution

The fourth proportional to 558.04, 770.44 and 345.38 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.04 : 770.44 = 345.38 : x
  2. Step 2: Convert to fraction form
    558.04/770.44 = 345.38/x
  3. Step 3: Cross multiply
    558.04x = 770.44 × 345.38
  4. Step 4: Simplify right side
    558.04x = 266,094.57
  5. Step 5: Solve for x
    x = 266,094.57/558.04
  6. Step 6: Final answer
    x = 476.84

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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.