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Finding the Fourth Proportional to 587.70, 810.94 and 335.58

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Solution

The fourth proportional to 587.70, 810.94 and 335.58 is: 463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 810.94 = 335.58 : x
  2. Step 2: Convert to fraction form
    587.70/810.94 = 335.58/x
  3. Step 3: Cross multiply
    587.70x = 810.94 × 335.58
  4. Step 4: Simplify right side
    587.70x = 272,135.25
  5. Step 5: Solve for x
    x = 272,135.25/587.70
  6. Step 6: Final answer
    x = 463.05

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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.