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Finding the Fourth Proportional to 584, 804.80 and 387.17

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Solution

The fourth proportional to 584, 804.80 and 387.17 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 804.80 = 387.17 : x
  2. Step 2: Convert to fraction form
    584/804.80 = 387.17/x
  3. Step 3: Cross multiply
    584x = 804.80 × 387.17
  4. Step 4: Simplify right side
    584x = 311,594.42
  5. Step 5: Solve for x
    x = 311,594.42/584
  6. Step 6: Final answer
    x = 533.55

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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.