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Finding the Fourth Proportional to 526.20, 720.72 and 496.29

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Solution

The fourth proportional to 526.20, 720.72 and 496.29 is: 679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 720.72 = 496.29 : x
  2. Step 2: Convert to fraction form
    526.20/720.72 = 496.29/x
  3. Step 3: Cross multiply
    526.20x = 720.72 × 496.29
  4. Step 4: Simplify right side
    526.20x = 357,686.13
  5. Step 5: Solve for x
    x = 357,686.13/526.20
  6. Step 6: Final answer
    x = 679.75

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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.