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Finding the Fourth Proportional to 531.60, 794.52 and 520.08

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Solution

The fourth proportional to 531.60, 794.52 and 520.08 is: 777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 794.52 = 520.08 : x
  2. Step 2: Convert to fraction form
    531.60/794.52 = 520.08/x
  3. Step 3: Cross multiply
    531.60x = 794.52 × 520.08
  4. Step 4: Simplify right side
    531.60x = 413,213.96
  5. Step 5: Solve for x
    x = 413,213.96/531.60
  6. Step 6: Final answer
    x = 777.30

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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.