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Finding the Fourth Proportional to 461.55, 688.77 and 380.55

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Solution

The fourth proportional to 461.55, 688.77 and 380.55 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 688.77 = 380.55 : x
  2. Step 2: Convert to fraction form
    461.55/688.77 = 380.55/x
  3. Step 3: Cross multiply
    461.55x = 688.77 × 380.55
  4. Step 4: Simplify right side
    461.55x = 262,111.42
  5. Step 5: Solve for x
    x = 262,111.42/461.55
  6. Step 6: Final answer
    x = 567.89

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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.