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Finding the Fourth Proportional to 505.02, 753.32 and 446.70

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Solution

The fourth proportional to 505.02, 753.32 and 446.70 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 753.32 = 446.70 : x
  2. Step 2: Convert to fraction form
    505.02/753.32 = 446.70/x
  3. Step 3: Cross multiply
    505.02x = 753.32 × 446.70
  4. Step 4: Simplify right side
    505.02x = 336,508.04
  5. Step 5: Solve for x
    x = 336,508.04/505.02
  6. Step 6: Final answer
    x = 666.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.