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Finding the Fourth Proportional to 764.98, 1,056.08 and 517.60

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Solution

The fourth proportional to 764.98, 1,056.08 and 517.60 is: 714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,056.08 = 517.60 : x
  2. Step 2: Convert to fraction form
    764.98/1,056.08 = 517.60/x
  3. Step 3: Cross multiply
    764.98x = 1,056.08 × 517.60
  4. Step 4: Simplify right side
    764.98x = 546,627.01
  5. Step 5: Solve for x
    x = 546,627.01/764.98
  6. Step 6: Final answer
    x = 714.56

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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.