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Finding the Fourth Proportional to 575.40, 793.82 and 407.60

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Solution

The fourth proportional to 575.40, 793.82 and 407.60 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 793.82 = 407.60 : x
  2. Step 2: Convert to fraction form
    575.40/793.82 = 407.60/x
  3. Step 3: Cross multiply
    575.40x = 793.82 × 407.60
  4. Step 4: Simplify right side
    575.40x = 323,561.03
  5. Step 5: Solve for x
    x = 323,561.03/575.40
  6. Step 6: Final answer
    x = 562.32

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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.