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Finding the Fourth Proportional to 681.65, 1,020.15 and 528.25

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Solution

The fourth proportional to 681.65, 1,020.15 and 528.25 is: 790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.65 : 1,020.15 = 528.25 : x
  2. Step 2: Convert to fraction form
    681.65/1,020.15 = 528.25/x
  3. Step 3: Cross multiply
    681.65x = 1,020.15 × 528.25
  4. Step 4: Simplify right side
    681.65x = 538,894.24
  5. Step 5: Solve for x
    x = 538,894.24/681.65
  6. Step 6: Final answer
    x = 790.57

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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.