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Finding the Fourth Proportional to 562.52, 777.23 and 404.84

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Solution

The fourth proportional to 562.52, 777.23 and 404.84 is: 559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.52 : 777.23 = 404.84 : x
  2. Step 2: Convert to fraction form
    562.52/777.23 = 404.84/x
  3. Step 3: Cross multiply
    562.52x = 777.23 × 404.84
  4. Step 4: Simplify right side
    562.52x = 314,649.83
  5. Step 5: Solve for x
    x = 314,649.83/562.52
  6. Step 6: Final answer
    x = 559.36

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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.