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Finding the Fourth Proportional to 918.69, 1,267.80 and 499.04

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Solution

The fourth proportional to 918.69, 1,267.80 and 499.04 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.69 : 1,267.80 = 499.04 : x
  2. Step 2: Convert to fraction form
    918.69/1,267.80 = 499.04/x
  3. Step 3: Cross multiply
    918.69x = 1,267.80 × 499.04
  4. Step 4: Simplify right side
    918.69x = 632,687.75
  5. Step 5: Solve for x
    x = 632,687.75/918.69
  6. Step 6: Final answer
    x = 688.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.