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Finding the Fourth Proportional to 557.66, 837.30 and 340.58

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Solution

The fourth proportional to 557.66, 837.30 and 340.58 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 837.30 = 340.58 : x
  2. Step 2: Convert to fraction form
    557.66/837.30 = 340.58/x
  3. Step 3: Cross multiply
    557.66x = 837.30 × 340.58
  4. Step 4: Simplify right side
    557.66x = 285,167.63
  5. Step 5: Solve for x
    x = 285,167.63/557.66
  6. Step 6: Final answer
    x = 511.36

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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.