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Finding the Fourth Proportional to 587.69, 800.90 and 585.53

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Solution

The fourth proportional to 587.69, 800.90 and 585.53 is: 797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 800.90 = 585.53 : x
  2. Step 2: Convert to fraction form
    587.69/800.90 = 585.53/x
  3. Step 3: Cross multiply
    587.69x = 800.90 × 585.53
  4. Step 4: Simplify right side
    587.69x = 468,950.98
  5. Step 5: Solve for x
    x = 468,950.98/587.69
  6. Step 6: Final answer
    x = 797.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.