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Finding the Fourth Proportional to 777.55, 1,165.71 and 533.35

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Solution

The fourth proportional to 777.55, 1,165.71 and 533.35 is: 799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.55 : 1,165.71 = 533.35 : x
  2. Step 2: Convert to fraction form
    777.55/1,165.71 = 533.35/x
  3. Step 3: Cross multiply
    777.55x = 1,165.71 × 533.35
  4. Step 4: Simplify right side
    777.55x = 621,731.43
  5. Step 5: Solve for x
    x = 621,731.43/777.55
  6. Step 6: Final answer
    x = 799.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.