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Finding the Fourth Proportional to 673.64, 1,010.46 and 289.16

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Solution

The fourth proportional to 673.64, 1,010.46 and 289.16 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 1,010.46 = 289.16 : x
  2. Step 2: Convert to fraction form
    673.64/1,010.46 = 289.16/x
  3. Step 3: Cross multiply
    673.64x = 1,010.46 × 289.16
  4. Step 4: Simplify right side
    673.64x = 292,184.61
  5. Step 5: Solve for x
    x = 292,184.61/673.64
  6. Step 6: Final answer
    x = 433.74

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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.