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Finding the Fourth Proportional to 526.76, 727.82 and 428.34

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Solution

The fourth proportional to 526.76, 727.82 and 428.34 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.76 : 727.82 = 428.34 : x
  2. Step 2: Convert to fraction form
    526.76/727.82 = 428.34/x
  3. Step 3: Cross multiply
    526.76x = 727.82 × 428.34
  4. Step 4: Simplify right side
    526.76x = 311,752.28
  5. Step 5: Solve for x
    x = 311,752.28/526.76
  6. Step 6: Final answer
    x = 591.84

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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.