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Finding the Fourth Proportional to 1,030.81, 1,546.17 and 503.50

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Solution

The fourth proportional to 1,030.81, 1,546.17 and 503.50 is: 755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.81 : 1,546.17 = 503.50 : x
  2. Step 2: Convert to fraction form
    1,030.81/1,546.17 = 503.50/x
  3. Step 3: Cross multiply
    1,030.81x = 1,546.17 × 503.50
  4. Step 4: Simplify right side
    1,030.81x = 778,496.60
  5. Step 5: Solve for x
    x = 778,496.60/1,030.81
  6. Step 6: Final answer
    x = 755.23

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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.