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Finding the Fourth Proportional to 587.56, 811.63 and 546.05

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Solution

The fourth proportional to 587.56, 811.63 and 546.05 is: 754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.56 : 811.63 = 546.05 : x
  2. Step 2: Convert to fraction form
    587.56/811.63 = 546.05/x
  3. Step 3: Cross multiply
    587.56x = 811.63 × 546.05
  4. Step 4: Simplify right side
    587.56x = 443,189.20
  5. Step 5: Solve for x
    x = 443,189.20/587.56
  6. Step 6: Final answer
    x = 754.28

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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.