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Finding the Fourth Proportional to 522.66, 784.68 and 407.85

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Solution

The fourth proportional to 522.66, 784.68 and 407.85 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 784.68 = 407.85 : x
  2. Step 2: Convert to fraction form
    522.66/784.68 = 407.85/x
  3. Step 3: Cross multiply
    522.66x = 784.68 × 407.85
  4. Step 4: Simplify right side
    522.66x = 320,031.74
  5. Step 5: Solve for x
    x = 320,031.74/522.66
  6. Step 6: Final answer
    x = 612.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.