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Finding the Fourth Proportional to 587.68, 811.06 and 440.06

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Solution

The fourth proportional to 587.68, 811.06 and 440.06 is: 607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.68 : 811.06 = 440.06 : x
  2. Step 2: Convert to fraction form
    587.68/811.06 = 440.06/x
  3. Step 3: Cross multiply
    587.68x = 811.06 × 440.06
  4. Step 4: Simplify right side
    587.68x = 356,915.06
  5. Step 5: Solve for x
    x = 356,915.06/587.68
  6. Step 6: Final answer
    x = 607.33

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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.