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Finding the Fourth Proportional to 500.85, 750.87 and 460.35

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Solution

The fourth proportional to 500.85, 750.87 and 460.35 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.85 : 750.87 = 460.35 : x
  2. Step 2: Convert to fraction form
    500.85/750.87 = 460.35/x
  3. Step 3: Cross multiply
    500.85x = 750.87 × 460.35
  4. Step 4: Simplify right side
    500.85x = 345,663.00
  5. Step 5: Solve for x
    x = 345,663.00/500.85
  6. Step 6: Final answer
    x = 690.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.