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Finding the Fourth Proportional to 681.77, 1,020.08 and 417.28

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Solution

The fourth proportional to 681.77, 1,020.08 and 417.28 is: 624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.77 : 1,020.08 = 417.28 : x
  2. Step 2: Convert to fraction form
    681.77/1,020.08 = 417.28/x
  3. Step 3: Cross multiply
    681.77x = 1,020.08 × 417.28
  4. Step 4: Simplify right side
    681.77x = 425,658.17
  5. Step 5: Solve for x
    x = 425,658.17/681.77
  6. Step 6: Final answer
    x = 624.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.