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Finding the Fourth Proportional to 768.53, 1,059.05 and 546.86

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Solution

The fourth proportional to 768.53, 1,059.05 and 546.86 is: 753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.53 : 1,059.05 = 546.86 : x
  2. Step 2: Convert to fraction form
    768.53/1,059.05 = 546.86/x
  3. Step 3: Cross multiply
    768.53x = 1,059.05 × 546.86
  4. Step 4: Simplify right side
    768.53x = 579,152.08
  5. Step 5: Solve for x
    x = 579,152.08/768.53
  6. Step 6: Final answer
    x = 753.58

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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.