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Finding the Fourth Proportional to 1,030.85, 1,546.50 and 511.13

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Solution

The fourth proportional to 1,030.85, 1,546.50 and 511.13 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,546.50 = 511.13 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,546.50 = 511.13/x
  3. Step 3: Cross multiply
    1,030.85x = 1,546.50 × 511.13
  4. Step 4: Simplify right side
    1,030.85x = 790,466.41
  5. Step 5: Solve for x
    x = 790,466.41/1,030.85
  6. Step 6: Final answer
    x = 766.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.