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Finding the Fourth Proportional to 623.31, 933.69 and 500.19

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Solution

The fourth proportional to 623.31, 933.69 and 500.19 is: 749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.31 : 933.69 = 500.19 : x
  2. Step 2: Convert to fraction form
    623.31/933.69 = 500.19/x
  3. Step 3: Cross multiply
    623.31x = 933.69 × 500.19
  4. Step 4: Simplify right side
    623.31x = 467,022.40
  5. Step 5: Solve for x
    x = 467,022.40/623.31
  6. Step 6: Final answer
    x = 749.26

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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.