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Finding the Fourth Proportional to 500.56, 750.33 and 317.60

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Solution

The fourth proportional to 500.56, 750.33 and 317.60 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.56 : 750.33 = 317.60 : x
  2. Step 2: Convert to fraction form
    500.56/750.33 = 317.60/x
  3. Step 3: Cross multiply
    500.56x = 750.33 × 317.60
  4. Step 4: Simplify right side
    500.56x = 238,304.81
  5. Step 5: Solve for x
    x = 238,304.81/500.56
  6. Step 6: Final answer
    x = 476.08

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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.