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Finding the Fourth Proportional to 594.96, 820.71 and 420

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Solution

The fourth proportional to 594.96, 820.71 and 420 is: 579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 820.71 = 420 : x
  2. Step 2: Convert to fraction form
    594.96/820.71 = 420/x
  3. Step 3: Cross multiply
    594.96x = 820.71 × 420
  4. Step 4: Simplify right side
    594.96x = 344,698.20
  5. Step 5: Solve for x
    x = 344,698.20/594.96
  6. Step 6: Final answer
    x = 579.36

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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.