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Finding the Fourth Proportional to 557.61, 828.93 and 541.23

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Solution

The fourth proportional to 557.61, 828.93 and 541.23 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 828.93 = 541.23 : x
  2. Step 2: Convert to fraction form
    557.61/828.93 = 541.23/x
  3. Step 3: Cross multiply
    557.61x = 828.93 × 541.23
  4. Step 4: Simplify right side
    557.61x = 448,641.78
  5. Step 5: Solve for x
    x = 448,641.78/557.61
  6. Step 6: Final answer
    x = 804.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.