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Finding the Fourth Proportional to 535.76, 734.20 and 483.92

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Solution

The fourth proportional to 535.76, 734.20 and 483.92 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.76 : 734.20 = 483.92 : x
  2. Step 2: Convert to fraction form
    535.76/734.20 = 483.92/x
  3. Step 3: Cross multiply
    535.76x = 734.20 × 483.92
  4. Step 4: Simplify right side
    535.76x = 355,294.06
  5. Step 5: Solve for x
    x = 355,294.06/535.76
  6. Step 6: Final answer
    x = 663.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.