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Finding the Fourth Proportional to 1,012.69, 1,516.58 and 491.40

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Solution

The fourth proportional to 1,012.69, 1,516.58 and 491.40 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.69 : 1,516.58 = 491.40 : x
  2. Step 2: Convert to fraction form
    1,012.69/1,516.58 = 491.40/x
  3. Step 3: Cross multiply
    1,012.69x = 1,516.58 × 491.40
  4. Step 4: Simplify right side
    1,012.69x = 745,237.37
  5. Step 5: Solve for x
    x = 745,237.37/1,012.69
  6. Step 6: Final answer
    x = 735.90

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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.