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Finding the Fourth Proportional to 569.06, 782.54 and 455.61

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Solution

The fourth proportional to 569.06, 782.54 and 455.61 is: 626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 782.54 = 455.61 : x
  2. Step 2: Convert to fraction form
    569.06/782.54 = 455.61/x
  3. Step 3: Cross multiply
    569.06x = 782.54 × 455.61
  4. Step 4: Simplify right side
    569.06x = 356,529.14
  5. Step 5: Solve for x
    x = 356,529.14/569.06
  6. Step 6: Final answer
    x = 626.53

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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.