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Finding the Fourth Proportional to 587, 809.70 and 470.84

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Solution

The fourth proportional to 587, 809.70 and 470.84 is: 649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 809.70 = 470.84 : x
  2. Step 2: Convert to fraction form
    587/809.70 = 470.84/x
  3. Step 3: Cross multiply
    587x = 809.70 × 470.84
  4. Step 4: Simplify right side
    587x = 381,239.15
  5. Step 5: Solve for x
    x = 381,239.15/587
  6. Step 6: Final answer
    x = 649.47

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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.