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Finding the Fourth Proportional to 558.02, 837.12 and 341.84

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Solution

The fourth proportional to 558.02, 837.12 and 341.84 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 837.12 = 341.84 : x
  2. Step 2: Convert to fraction form
    558.02/837.12 = 341.84/x
  3. Step 3: Cross multiply
    558.02x = 837.12 × 341.84
  4. Step 4: Simplify right side
    558.02x = 286,161.10
  5. Step 5: Solve for x
    x = 286,161.10/558.02
  6. Step 6: Final answer
    x = 512.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.