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Finding the Fourth Proportional to 1,010.53, 1,515.80 and 433.41

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Solution

The fourth proportional to 1,010.53, 1,515.80 and 433.41 is: 650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.53 : 1,515.80 = 433.41 : x
  2. Step 2: Convert to fraction form
    1,010.53/1,515.80 = 433.41/x
  3. Step 3: Cross multiply
    1,010.53x = 1,515.80 × 433.41
  4. Step 4: Simplify right side
    1,010.53x = 656,955.84
  5. Step 5: Solve for x
    x = 656,955.84/1,010.53
  6. Step 6: Final answer
    x = 650.11

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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.