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Finding the Fourth Proportional to 890.41, 1,225.75 and 765.34

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Solution

The fourth proportional to 890.41, 1,225.75 and 765.34 is: 1,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.41 : 1,225.75 = 765.34 : x
  2. Step 2: Convert to fraction form
    890.41/1,225.75 = 765.34/x
  3. Step 3: Cross multiply
    890.41x = 1,225.75 × 765.34
  4. Step 4: Simplify right side
    890.41x = 938,107.01
  5. Step 5: Solve for x
    x = 938,107.01/890.41
  6. Step 6: Final answer
    x = 1,053.57

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1.5x scale

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.