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Finding the Fourth Proportional to 611.64, 912.71 and 539.64

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Solution

The fourth proportional to 611.64, 912.71 and 539.64 is: 805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 912.71 = 539.64 : x
  2. Step 2: Convert to fraction form
    611.64/912.71 = 539.64/x
  3. Step 3: Cross multiply
    611.64x = 912.71 × 539.64
  4. Step 4: Simplify right side
    611.64x = 492,532.13
  5. Step 5: Solve for x
    x = 492,532.13/611.64
  6. Step 6: Final answer
    x = 805.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.