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Finding the Fourth Proportional to 611.49, 916.47 and 437.25

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Solution

The fourth proportional to 611.49, 916.47 and 437.25 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 916.47 = 437.25 : x
  2. Step 2: Convert to fraction form
    611.49/916.47 = 437.25/x
  3. Step 3: Cross multiply
    611.49x = 916.47 × 437.25
  4. Step 4: Simplify right side
    611.49x = 400,726.51
  5. Step 5: Solve for x
    x = 400,726.51/611.49
  6. Step 6: Final answer
    x = 655.33

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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.