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Finding the Fourth Proportional to 535.84, 734.63 and 526.12

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Solution

The fourth proportional to 535.84, 734.63 and 526.12 is: 721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 734.63 = 526.12 : x
  2. Step 2: Convert to fraction form
    535.84/734.63 = 526.12/x
  3. Step 3: Cross multiply
    535.84x = 734.63 × 526.12
  4. Step 4: Simplify right side
    535.84x = 386,503.54
  5. Step 5: Solve for x
    x = 386,503.54/535.84
  6. Step 6: Final answer
    x = 721.30

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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.