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Finding the Fourth Proportional to 560.33, 771.75 and 455.03

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Solution

The fourth proportional to 560.33, 771.75 and 455.03 is: 626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.33 : 771.75 = 455.03 : x
  2. Step 2: Convert to fraction form
    560.33/771.75 = 455.03/x
  3. Step 3: Cross multiply
    560.33x = 771.75 × 455.03
  4. Step 4: Simplify right side
    560.33x = 351,165.54
  5. Step 5: Solve for x
    x = 351,165.54/560.33
  6. Step 6: Final answer
    x = 626.72

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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.