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Finding the Fourth Proportional to 1,325.60, 1,829.40 and 766.07

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Solution

The fourth proportional to 1,325.60, 1,829.40 and 766.07 is: 1,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.60 : 1,829.40 = 766.07 : x
  2. Step 2: Convert to fraction form
    1,325.60/1,829.40 = 766.07/x
  3. Step 3: Cross multiply
    1,325.60x = 1,829.40 × 766.07
  4. Step 4: Simplify right side
    1,325.60x = 1,401,448.46
  5. Step 5: Solve for x
    x = 1,401,448.46/1,325.60
  6. Step 6: Final answer
    x = 1,057.22

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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.