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Finding the Fourth Proportional to 1,020.65, 1,409.64 and 688.50

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Solution

The fourth proportional to 1,020.65, 1,409.64 and 688.50 is: 950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.65 : 1,409.64 = 688.50 : x
  2. Step 2: Convert to fraction form
    1,020.65/1,409.64 = 688.50/x
  3. Step 3: Cross multiply
    1,020.65x = 1,409.64 × 688.50
  4. Step 4: Simplify right side
    1,020.65x = 970,540.37
  5. Step 5: Solve for x
    x = 970,540.37/1,020.65
  6. Step 6: Final answer
    x = 950.90

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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.