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Finding the Fourth Proportional to 520.22, 719.25 and 497.27

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Solution

The fourth proportional to 520.22, 719.25 and 497.27 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 719.25 = 497.27 : x
  2. Step 2: Convert to fraction form
    520.22/719.25 = 497.27/x
  3. Step 3: Cross multiply
    520.22x = 719.25 × 497.27
  4. Step 4: Simplify right side
    520.22x = 357,657.85
  5. Step 5: Solve for x
    x = 357,657.85/520.22
  6. Step 6: Final answer
    x = 687.52

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Double scale
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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.