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Finding the Fourth Proportional to 521.80, 718.50 and 404.68

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Solution

The fourth proportional to 521.80, 718.50 and 404.68 is: 557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 718.50 = 404.68 : x
  2. Step 2: Convert to fraction form
    521.80/718.50 = 404.68/x
  3. Step 3: Cross multiply
    521.80x = 718.50 × 404.68
  4. Step 4: Simplify right side
    521.80x = 290,762.58
  5. Step 5: Solve for x
    x = 290,762.58/521.80
  6. Step 6: Final answer
    x = 557.23

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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.