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Finding the Fourth Proportional to 500.10, 753.50 and 460.74

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Solution

The fourth proportional to 500.10, 753.50 and 460.74 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 753.50 = 460.74 : x
  2. Step 2: Convert to fraction form
    500.10/753.50 = 460.74/x
  3. Step 3: Cross multiply
    500.10x = 753.50 × 460.74
  4. Step 4: Simplify right side
    500.10x = 347,165.29
  5. Step 5: Solve for x
    x = 347,165.29/500.10
  6. Step 6: Final answer
    x = 694.19

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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.