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Finding the Fourth Proportional to 493.32, 680.40 and 456.92

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Solution

The fourth proportional to 493.32, 680.40 and 456.92 is: 630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 680.40 = 456.92 : x
  2. Step 2: Convert to fraction form
    493.32/680.40 = 456.92/x
  3. Step 3: Cross multiply
    493.32x = 680.40 × 456.92
  4. Step 4: Simplify right side
    493.32x = 310,888.37
  5. Step 5: Solve for x
    x = 310,888.37/493.32
  6. Step 6: Final answer
    x = 630.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.