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Finding the Fourth Proportional to 562.09, 775.25 and 405.30

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Solution

The fourth proportional to 562.09, 775.25 and 405.30 is: 559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.09 : 775.25 = 405.30 : x
  2. Step 2: Convert to fraction form
    562.09/775.25 = 405.30/x
  3. Step 3: Cross multiply
    562.09x = 775.25 × 405.30
  4. Step 4: Simplify right side
    562.09x = 314,210.09
  5. Step 5: Solve for x
    x = 314,210.09/562.09
  6. Step 6: Final answer
    x = 559.00

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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.