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Finding the Fourth Proportional to 928.96, 1,281.98 and 535.98

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Solution

The fourth proportional to 928.96, 1,281.98 and 535.98 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.96 : 1,281.98 = 535.98 : x
  2. Step 2: Convert to fraction form
    928.96/1,281.98 = 535.98/x
  3. Step 3: Cross multiply
    928.96x = 1,281.98 × 535.98
  4. Step 4: Simplify right side
    928.96x = 687,115.64
  5. Step 5: Solve for x
    x = 687,115.64/928.96
  6. Step 6: Final answer
    x = 739.66

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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.