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Finding the Fourth Proportional to 1,325.19, 1,829.00 and 765.57

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Solution

The fourth proportional to 1,325.19, 1,829.00 and 765.57 is: 1,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.19 : 1,829.00 = 765.57 : x
  2. Step 2: Convert to fraction form
    1,325.19/1,829.00 = 765.57/x
  3. Step 3: Cross multiply
    1,325.19x = 1,829.00 × 765.57
  4. Step 4: Simplify right side
    1,325.19x = 1,400,221.71
  5. Step 5: Solve for x
    x = 1,400,221.71/1,325.19
  6. Step 6: Final answer
    x = 1,056.62

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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.