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Finding the Fourth Proportional to 672.56, 926.88 and 524.96

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Solution

The fourth proportional to 672.56, 926.88 and 524.96 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.56 : 926.88 = 524.96 : x
  2. Step 2: Convert to fraction form
    672.56/926.88 = 524.96/x
  3. Step 3: Cross multiply
    672.56x = 926.88 × 524.96
  4. Step 4: Simplify right side
    672.56x = 486,574.92
  5. Step 5: Solve for x
    x = 486,574.92/672.56
  6. Step 6: Final answer
    x = 723.47

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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.