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Finding the Fourth Proportional to 649.98, 975.09 and 558.42

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Solution

The fourth proportional to 649.98, 975.09 and 558.42 is: 837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 975.09 = 558.42 : x
  2. Step 2: Convert to fraction form
    649.98/975.09 = 558.42/x
  3. Step 3: Cross multiply
    649.98x = 975.09 × 558.42
  4. Step 4: Simplify right side
    649.98x = 544,509.76
  5. Step 5: Solve for x
    x = 544,509.76/649.98
  6. Step 6: Final answer
    x = 837.73

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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.