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Finding the Fourth Proportional to 594.57, 819.50 and 407.74

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Solution

The fourth proportional to 594.57, 819.50 and 407.74 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.57 : 819.50 = 407.74 : x
  2. Step 2: Convert to fraction form
    594.57/819.50 = 407.74/x
  3. Step 3: Cross multiply
    594.57x = 819.50 × 407.74
  4. Step 4: Simplify right side
    594.57x = 334,142.93
  5. Step 5: Solve for x
    x = 334,142.93/594.57
  6. Step 6: Final answer
    x = 561.99

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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.