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Finding the Fourth Proportional to 673.95, 1,009.71 and 647.22

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Solution

The fourth proportional to 673.95, 1,009.71 and 647.22 is: 969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.95 : 1,009.71 = 647.22 : x
  2. Step 2: Convert to fraction form
    673.95/1,009.71 = 647.22/x
  3. Step 3: Cross multiply
    673.95x = 1,009.71 × 647.22
  4. Step 4: Simplify right side
    673.95x = 653,504.51
  5. Step 5: Solve for x
    x = 653,504.51/673.95
  6. Step 6: Final answer
    x = 969.66

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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.