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Finding the Fourth Proportional to 673.96, 1,009.80 and 457.12

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Solution

The fourth proportional to 673.96, 1,009.80 and 457.12 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 1,009.80 = 457.12 : x
  2. Step 2: Convert to fraction form
    673.96/1,009.80 = 457.12/x
  3. Step 3: Cross multiply
    673.96x = 1,009.80 × 457.12
  4. Step 4: Simplify right side
    673.96x = 461,599.78
  5. Step 5: Solve for x
    x = 461,599.78/673.96
  6. Step 6: Final answer
    x = 684.91

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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.