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Finding the Fourth Proportional to 584.49, 806.49 and 473.77

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Solution

The fourth proportional to 584.49, 806.49 and 473.77 is: 653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.49 : 806.49 = 473.77 : x
  2. Step 2: Convert to fraction form
    584.49/806.49 = 473.77/x
  3. Step 3: Cross multiply
    584.49x = 806.49 × 473.77
  4. Step 4: Simplify right side
    584.49x = 382,090.77
  5. Step 5: Solve for x
    x = 382,090.77/584.49
  6. Step 6: Final answer
    x = 653.72

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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.