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Finding the Fourth Proportional to 543.55, 811.35 and 467.01

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Solution

The fourth proportional to 543.55, 811.35 and 467.01 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.55 : 811.35 = 467.01 : x
  2. Step 2: Convert to fraction form
    543.55/811.35 = 467.01/x
  3. Step 3: Cross multiply
    543.55x = 811.35 × 467.01
  4. Step 4: Simplify right side
    543.55x = 378,903.34
  5. Step 5: Solve for x
    x = 378,903.34/543.55
  6. Step 6: Final answer
    x = 697.09

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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.