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Finding the Fourth Proportional to 1,016.64, 1,384.20 and 1,013.40

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Solution

The fourth proportional to 1,016.64, 1,384.20 and 1,013.40 is: 1,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,384.20 = 1,013.40 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,384.20 = 1,013.40/x
  3. Step 3: Cross multiply
    1,016.64x = 1,384.20 × 1,013.40
  4. Step 4: Simplify right side
    1,016.64x = 1,402,748.28
  5. Step 5: Solve for x
    x = 1,402,748.28/1,016.64
  6. Step 6: Final answer
    x = 1,379.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.