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Finding the Fourth Proportional to 624.90, 942.63 and 591.69

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Solution

The fourth proportional to 624.90, 942.63 and 591.69 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 942.63 = 591.69 : x
  2. Step 2: Convert to fraction form
    624.90/942.63 = 591.69/x
  3. Step 3: Cross multiply
    624.90x = 942.63 × 591.69
  4. Step 4: Simplify right side
    624.90x = 557,744.74
  5. Step 5: Solve for x
    x = 557,744.74/624.90
  6. Step 6: Final answer
    x = 892.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.