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Finding the Fourth Proportional to 637.76, 960.67 and 570.08

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Solution

The fourth proportional to 637.76, 960.67 and 570.08 is: 858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.76 : 960.67 = 570.08 : x
  2. Step 2: Convert to fraction form
    637.76/960.67 = 570.08/x
  3. Step 3: Cross multiply
    637.76x = 960.67 × 570.08
  4. Step 4: Simplify right side
    637.76x = 547,658.75
  5. Step 5: Solve for x
    x = 547,658.75/637.76
  6. Step 6: Final answer
    x = 858.72

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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.