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Finding the Fourth Proportional to 935.86, 1,291.77 and 542.98

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Solution

The fourth proportional to 935.86, 1,291.77 and 542.98 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.86 : 1,291.77 = 542.98 : x
  2. Step 2: Convert to fraction form
    935.86/1,291.77 = 542.98/x
  3. Step 3: Cross multiply
    935.86x = 1,291.77 × 542.98
  4. Step 4: Simplify right side
    935.86x = 701,405.27
  5. Step 5: Solve for x
    x = 701,405.27/935.86
  6. Step 6: Final answer
    x = 749.48

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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.