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Finding the Fourth Proportional to 558.68, 770.96 and 310.01

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Solution

The fourth proportional to 558.68, 770.96 and 310.01 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.68 : 770.96 = 310.01 : x
  2. Step 2: Convert to fraction form
    558.68/770.96 = 310.01/x
  3. Step 3: Cross multiply
    558.68x = 770.96 × 310.01
  4. Step 4: Simplify right side
    558.68x = 239,002.23
  5. Step 5: Solve for x
    x = 239,002.23/558.68
  6. Step 6: Final answer
    x = 427.80

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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.