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Finding the Fourth Proportional to 535.36, 737.76 and 387.84

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Solution

The fourth proportional to 535.36, 737.76 and 387.84 is: 534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 737.76 = 387.84 : x
  2. Step 2: Convert to fraction form
    535.36/737.76 = 387.84/x
  3. Step 3: Cross multiply
    535.36x = 737.76 × 387.84
  4. Step 4: Simplify right side
    535.36x = 286,132.84
  5. Step 5: Solve for x
    x = 286,132.84/535.36
  6. Step 6: Final answer
    x = 534.47

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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.