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Finding the Fourth Proportional to 558.08, 770.04 and 309.40

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Solution

The fourth proportional to 558.08, 770.04 and 309.40 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.08 : 770.04 = 309.40 : x
  2. Step 2: Convert to fraction form
    558.08/770.04 = 309.40/x
  3. Step 3: Cross multiply
    558.08x = 770.04 × 309.40
  4. Step 4: Simplify right side
    558.08x = 238,250.38
  5. Step 5: Solve for x
    x = 238,250.38/558.08
  6. Step 6: Final answer
    x = 426.91

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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.