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Finding the Fourth Proportional to 526.48, 725.16 and 490.64

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Solution

The fourth proportional to 526.48, 725.16 and 490.64 is: 675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 725.16 = 490.64 : x
  2. Step 2: Convert to fraction form
    526.48/725.16 = 490.64/x
  3. Step 3: Cross multiply
    526.48x = 725.16 × 490.64
  4. Step 4: Simplify right side
    526.48x = 355,792.50
  5. Step 5: Solve for x
    x = 355,792.50/526.48
  6. Step 6: Final answer
    x = 675.79

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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.