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Finding the Fourth Proportional to 495.84, 748.20 and 475.86

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Solution

The fourth proportional to 495.84, 748.20 and 475.86 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 748.20 = 475.86 : x
  2. Step 2: Convert to fraction form
    495.84/748.20 = 475.86/x
  3. Step 3: Cross multiply
    495.84x = 748.20 × 475.86
  4. Step 4: Simplify right side
    495.84x = 356,038.45
  5. Step 5: Solve for x
    x = 356,038.45/495.84
  6. Step 6: Final answer
    x = 718.05

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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.