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Finding the Fourth Proportional to 673.48, 1,009.80 and 457.21

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Solution

The fourth proportional to 673.48, 1,009.80 and 457.21 is: 685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.48 : 1,009.80 = 457.21 : x
  2. Step 2: Convert to fraction form
    673.48/1,009.80 = 457.21/x
  3. Step 3: Cross multiply
    673.48x = 1,009.80 × 457.21
  4. Step 4: Simplify right side
    673.48x = 461,690.66
  5. Step 5: Solve for x
    x = 461,690.66/673.48
  6. Step 6: Final answer
    x = 685.53

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Why These Related Problems?

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