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Finding the Fourth Proportional to 673.94, 1,005.63 and 632.66

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Solution

The fourth proportional to 673.94, 1,005.63 and 632.66 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 1,005.63 = 632.66 : x
  2. Step 2: Convert to fraction form
    673.94/1,005.63 = 632.66/x
  3. Step 3: Cross multiply
    673.94x = 1,005.63 × 632.66
  4. Step 4: Simplify right side
    673.94x = 636,218.71
  5. Step 5: Solve for x
    x = 636,218.71/673.94
  6. Step 6: Final answer
    x = 944.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.