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Finding the Fourth Proportional to 533.64, 735.32 and 526.46

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Solution

The fourth proportional to 533.64, 735.32 and 526.46 is: 725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 735.32 = 526.46 : x
  2. Step 2: Convert to fraction form
    533.64/735.32 = 526.46/x
  3. Step 3: Cross multiply
    533.64x = 735.32 × 526.46
  4. Step 4: Simplify right side
    533.64x = 387,116.57
  5. Step 5: Solve for x
    x = 387,116.57/533.64
  6. Step 6: Final answer
    x = 725.43

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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.