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Finding the Fourth Proportional to 918.29, 1,267.43 and 586.64

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Solution

The fourth proportional to 918.29, 1,267.43 and 586.64 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.29 : 1,267.43 = 586.64 : x
  2. Step 2: Convert to fraction form
    918.29/1,267.43 = 586.64/x
  3. Step 3: Cross multiply
    918.29x = 1,267.43 × 586.64
  4. Step 4: Simplify right side
    918.29x = 743,515.86
  5. Step 5: Solve for x
    x = 743,515.86/918.29
  6. Step 6: Final answer
    x = 809.68

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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.