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Finding the Fourth Proportional to 558.64, 771.20 and 434.02

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Solution

The fourth proportional to 558.64, 771.20 and 434.02 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.64 : 771.20 = 434.02 : x
  2. Step 2: Convert to fraction form
    558.64/771.20 = 434.02/x
  3. Step 3: Cross multiply
    558.64x = 771.20 × 434.02
  4. Step 4: Simplify right side
    558.64x = 334,716.22
  5. Step 5: Solve for x
    x = 334,716.22/558.64
  6. Step 6: Final answer
    x = 599.16

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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.