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Finding the Fourth Proportional to 587.90, 810.42 and 456.68

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Solution

The fourth proportional to 587.90, 810.42 and 456.68 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.90 : 810.42 = 456.68 : x
  2. Step 2: Convert to fraction form
    587.90/810.42 = 456.68/x
  3. Step 3: Cross multiply
    587.90x = 810.42 × 456.68
  4. Step 4: Simplify right side
    587.90x = 370,102.61
  5. Step 5: Solve for x
    x = 370,102.61/587.90
  6. Step 6: Final answer
    x = 629.53

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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.