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Finding the Fourth Proportional to 587.51, 878.66 and 522.96

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Solution

The fourth proportional to 587.51, 878.66 and 522.96 is: 782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.51 : 878.66 = 522.96 : x
  2. Step 2: Convert to fraction form
    587.51/878.66 = 522.96/x
  3. Step 3: Cross multiply
    587.51x = 878.66 × 522.96
  4. Step 4: Simplify right side
    587.51x = 459,501.42
  5. Step 5: Solve for x
    x = 459,501.42/587.51
  6. Step 6: Final answer
    x = 782.12

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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.