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Finding the Fourth Proportional to 587.74, 811.47 and 355

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Solution

The fourth proportional to 587.74, 811.47 and 355 is: 490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.74 : 811.47 = 355 : x
  2. Step 2: Convert to fraction form
    587.74/811.47 = 355/x
  3. Step 3: Cross multiply
    587.74x = 811.47 × 355
  4. Step 4: Simplify right side
    587.74x = 288,071.85
  5. Step 5: Solve for x
    x = 288,071.85/587.74
  6. Step 6: Final answer
    x = 490.13

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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.