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Finding the Fourth Proportional to 587.79, 880.47 and 343.58

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Solution

The fourth proportional to 587.79, 880.47 and 343.58 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 880.47 = 343.58 : x
  2. Step 2: Convert to fraction form
    587.79/880.47 = 343.58/x
  3. Step 3: Cross multiply
    587.79x = 880.47 × 343.58
  4. Step 4: Simplify right side
    587.79x = 302,507.48
  5. Step 5: Solve for x
    x = 302,507.48/587.79
  6. Step 6: Final answer
    x = 514.65

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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.