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Finding the Fourth Proportional to 520.82, 719 and 402.53

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Solution

The fourth proportional to 520.82, 719 and 402.53 is: 555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.82 : 719 = 402.53 : x
  2. Step 2: Convert to fraction form
    520.82/719 = 402.53/x
  3. Step 3: Cross multiply
    520.82x = 719 × 402.53
  4. Step 4: Simplify right side
    520.82x = 289,419.07
  5. Step 5: Solve for x
    x = 289,419.07/520.82
  6. Step 6: Final answer
    x = 555.70

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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.