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Finding the Fourth Proportional to 517.80, 713.73 and 407.10

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Solution

The fourth proportional to 517.80, 713.73 and 407.10 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 713.73 = 407.10 : x
  2. Step 2: Convert to fraction form
    517.80/713.73 = 407.10/x
  3. Step 3: Cross multiply
    517.80x = 713.73 × 407.10
  4. Step 4: Simplify right side
    517.80x = 290,559.48
  5. Step 5: Solve for x
    x = 290,559.48/517.80
  6. Step 6: Final answer
    x = 561.14

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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.