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Finding the Fourth Proportional to 558.61, 770.84 and 309.91

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Solution

The fourth proportional to 558.61, 770.84 and 309.91 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.61 : 770.84 = 309.91 : x
  2. Step 2: Convert to fraction form
    558.61/770.84 = 309.91/x
  3. Step 3: Cross multiply
    558.61x = 770.84 × 309.91
  4. Step 4: Simplify right side
    558.61x = 238,891.02
  5. Step 5: Solve for x
    x = 238,891.02/558.61
  6. Step 6: Final answer
    x = 427.65

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