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Finding the Fourth Proportional to 594.12, 819.36 and 416.76

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Solution

The fourth proportional to 594.12, 819.36 and 416.76 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 819.36 = 416.76 : x
  2. Step 2: Convert to fraction form
    594.12/819.36 = 416.76/x
  3. Step 3: Cross multiply
    594.12x = 819.36 × 416.76
  4. Step 4: Simplify right side
    594.12x = 341,476.47
  5. Step 5: Solve for x
    x = 341,476.47/594.12
  6. Step 6: Final answer
    x = 574.76

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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.