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Finding the Fourth Proportional to 493.36, 735.56 and 456.88

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Solution

The fourth proportional to 493.36, 735.56 and 456.88 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 735.56 = 456.88 : x
  2. Step 2: Convert to fraction form
    493.36/735.56 = 456.88/x
  3. Step 3: Cross multiply
    493.36x = 735.56 × 456.88
  4. Step 4: Simplify right side
    493.36x = 336,062.65
  5. Step 5: Solve for x
    x = 336,062.65/493.36
  6. Step 6: Final answer
    x = 681.17

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1.5x scale

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.