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Finding the Fourth Proportional to 557.30, 835.64 and 341.02

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Solution

The fourth proportional to 557.30, 835.64 and 341.02 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 835.64 = 341.02 : x
  2. Step 2: Convert to fraction form
    557.30/835.64 = 341.02/x
  3. Step 3: Cross multiply
    557.30x = 835.64 × 341.02
  4. Step 4: Simplify right side
    557.30x = 284,969.95
  5. Step 5: Solve for x
    x = 284,969.95/557.30
  6. Step 6: Final answer
    x = 511.34

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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.