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Finding the Fourth Proportional to 672.79, 1,009.58 and 282.76

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Solution

The fourth proportional to 672.79, 1,009.58 and 282.76 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.79 : 1,009.58 = 282.76 : x
  2. Step 2: Convert to fraction form
    672.79/1,009.58 = 282.76/x
  3. Step 3: Cross multiply
    672.79x = 1,009.58 × 282.76
  4. Step 4: Simplify right side
    672.79x = 285,471.01
  5. Step 5: Solve for x
    x = 285,471.01/672.79
  6. Step 6: Final answer
    x = 424.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.