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Finding the Fourth Proportional to 611.98, 842.67 and 542.32

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Solution

The fourth proportional to 611.98, 842.67 and 542.32 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.98 : 842.67 = 542.32 : x
  2. Step 2: Convert to fraction form
    611.98/842.67 = 542.32/x
  3. Step 3: Cross multiply
    611.98x = 842.67 × 542.32
  4. Step 4: Simplify right side
    611.98x = 456,994.69
  5. Step 5: Solve for x
    x = 456,994.69/611.98
  6. Step 6: Final answer
    x = 746.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.