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Finding the Fourth Proportional to 531.60, 793.20 and 459.60

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Solution

The fourth proportional to 531.60, 793.20 and 459.60 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 793.20 = 459.60 : x
  2. Step 2: Convert to fraction form
    531.60/793.20 = 459.60/x
  3. Step 3: Cross multiply
    531.60x = 793.20 × 459.60
  4. Step 4: Simplify right side
    531.60x = 364,554.72
  5. Step 5: Solve for x
    x = 364,554.72/531.60
  6. Step 6: Final answer
    x = 685.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.