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Finding the Fourth Proportional to 1,325.50, 1,829.30 and 766.15

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Solution

The fourth proportional to 1,325.50, 1,829.30 and 766.15 is: 1,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.50 : 1,829.30 = 766.15 : x
  2. Step 2: Convert to fraction form
    1,325.50/1,829.30 = 766.15/x
  3. Step 3: Cross multiply
    1,325.50x = 1,829.30 × 766.15
  4. Step 4: Simplify right side
    1,325.50x = 1,401,509.79
  5. Step 5: Solve for x
    x = 1,401,509.79/1,325.50
  6. Step 6: Final answer
    x = 1,057.35

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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.