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Finding the Fourth Proportional to 558.02, 770.72 and 458.70

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Solution

The fourth proportional to 558.02, 770.72 and 458.70 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 770.72 = 458.70 : x
  2. Step 2: Convert to fraction form
    558.02/770.72 = 458.70/x
  3. Step 3: Cross multiply
    558.02x = 770.72 × 458.70
  4. Step 4: Simplify right side
    558.02x = 353,524.08
  5. Step 5: Solve for x
    x = 353,524.08/558.02
  6. Step 6: Final answer
    x = 633.53

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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.