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Finding the Fourth Proportional to 1,016.84, 1,525.20 and 440.12

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Solution

The fourth proportional to 1,016.84, 1,525.20 and 440.12 is: 660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.84 : 1,525.20 = 440.12 : x
  2. Step 2: Convert to fraction form
    1,016.84/1,525.20 = 440.12/x
  3. Step 3: Cross multiply
    1,016.84x = 1,525.20 × 440.12
  4. Step 4: Simplify right side
    1,016.84x = 671,271.02
  5. Step 5: Solve for x
    x = 671,271.02/1,016.84
  6. Step 6: Final answer
    x = 660.15

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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.