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Finding the Fourth Proportional to 526.92, 728.82 and 490.20

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Solution

The fourth proportional to 526.92, 728.82 and 490.20 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 728.82 = 490.20 : x
  2. Step 2: Convert to fraction form
    526.92/728.82 = 490.20/x
  3. Step 3: Cross multiply
    526.92x = 728.82 × 490.20
  4. Step 4: Simplify right side
    526.92x = 357,267.56
  5. Step 5: Solve for x
    x = 357,267.56/526.92
  6. Step 6: Final answer
    x = 678.03

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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.