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Finding the Fourth Proportional to 584.40, 807.26 and 475.26

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Solution

The fourth proportional to 584.40, 807.26 and 475.26 is: 656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 807.26 = 475.26 : x
  2. Step 2: Convert to fraction form
    584.40/807.26 = 475.26/x
  3. Step 3: Cross multiply
    584.40x = 807.26 × 475.26
  4. Step 4: Simplify right side
    584.40x = 383,658.39
  5. Step 5: Solve for x
    x = 383,658.39/584.40
  6. Step 6: Final answer
    x = 656.50

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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.