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Finding the Fourth Proportional to 673.71, 1,009.75 and 283.56

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Solution

The fourth proportional to 673.71, 1,009.75 and 283.56 is: 425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.71 : 1,009.75 = 283.56 : x
  2. Step 2: Convert to fraction form
    673.71/1,009.75 = 283.56/x
  3. Step 3: Cross multiply
    673.71x = 1,009.75 × 283.56
  4. Step 4: Simplify right side
    673.71x = 286,324.71
  5. Step 5: Solve for x
    x = 286,324.71/673.71
  6. Step 6: Final answer
    x = 425.00

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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.