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Finding the Fourth Proportional to 587.66, 811.01 and 339.06

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Solution

The fourth proportional to 587.66, 811.01 and 339.06 is: 467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.66 : 811.01 = 339.06 : x
  2. Step 2: Convert to fraction form
    587.66/811.01 = 339.06/x
  3. Step 3: Cross multiply
    587.66x = 811.01 × 339.06
  4. Step 4: Simplify right side
    587.66x = 274,979.36
  5. Step 5: Solve for x
    x = 274,979.36/587.66
  6. Step 6: Final answer
    x = 467.93

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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.