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Finding the Fourth Proportional to 558.16, 770.12 and 348.36

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Solution

The fourth proportional to 558.16, 770.12 and 348.36 is: 480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.16 : 770.12 = 348.36 : x
  2. Step 2: Convert to fraction form
    558.16/770.12 = 348.36/x
  3. Step 3: Cross multiply
    558.16x = 770.12 × 348.36
  4. Step 4: Simplify right side
    558.16x = 268,279.00
  5. Step 5: Solve for x
    x = 268,279.00/558.16
  6. Step 6: Final answer
    x = 480.65

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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.