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Finding the Fourth Proportional to 594.82, 820.23 and 470.22

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Solution

The fourth proportional to 594.82, 820.23 and 470.22 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 820.23 = 470.22 : x
  2. Step 2: Convert to fraction form
    594.82/820.23 = 470.22/x
  3. Step 3: Cross multiply
    594.82x = 820.23 × 470.22
  4. Step 4: Simplify right side
    594.82x = 385,688.55
  5. Step 5: Solve for x
    x = 385,688.55/594.82
  6. Step 6: Final answer
    x = 648.41

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1.5x scale

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.