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Finding the Fourth Proportional to 625.42, 942.76 and 570.75

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Solution

The fourth proportional to 625.42, 942.76 and 570.75 is: 860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.42 : 942.76 = 570.75 : x
  2. Step 2: Convert to fraction form
    625.42/942.76 = 570.75/x
  3. Step 3: Cross multiply
    625.42x = 942.76 × 570.75
  4. Step 4: Simplify right side
    625.42x = 538,079.05
  5. Step 5: Solve for x
    x = 538,079.05/625.42
  6. Step 6: Final answer
    x = 860.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.