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Finding the Fourth Proportional to 584.55, 807.71 and 461.19

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Solution

The fourth proportional to 584.55, 807.71 and 461.19 is: 637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.55 : 807.71 = 461.19 : x
  2. Step 2: Convert to fraction form
    584.55/807.71 = 461.19/x
  3. Step 3: Cross multiply
    584.55x = 807.71 × 461.19
  4. Step 4: Simplify right side
    584.55x = 372,508.50
  5. Step 5: Solve for x
    x = 372,508.50/584.55
  6. Step 6: Final answer
    x = 637.26

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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.