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Finding the Fourth Proportional to 557.64, 834.78 and 340.52

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Solution

The fourth proportional to 557.64, 834.78 and 340.52 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 834.78 = 340.52 : x
  2. Step 2: Convert to fraction form
    557.64/834.78 = 340.52/x
  3. Step 3: Cross multiply
    557.64x = 834.78 × 340.52
  4. Step 4: Simplify right side
    557.64x = 284,259.29
  5. Step 5: Solve for x
    x = 284,259.29/557.64
  6. Step 6: Final answer
    x = 509.75

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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.