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Finding the Fourth Proportional to 611.80, 916.66 and 437.58

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Solution

The fourth proportional to 611.80, 916.66 and 437.58 is: 655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.80 : 916.66 = 437.58 : x
  2. Step 2: Convert to fraction form
    611.80/916.66 = 437.58/x
  3. Step 3: Cross multiply
    611.80x = 916.66 × 437.58
  4. Step 4: Simplify right side
    611.80x = 401,109.89
  5. Step 5: Solve for x
    x = 401,109.89/611.80
  6. Step 6: Final answer
    x = 655.63

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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.