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Finding the Fourth Proportional to 673.80, 1,012.14 and 649.50

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Solution

The fourth proportional to 673.80, 1,012.14 and 649.50 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.80 : 1,012.14 = 649.50 : x
  2. Step 2: Convert to fraction form
    673.80/1,012.14 = 649.50/x
  3. Step 3: Cross multiply
    673.80x = 1,012.14 × 649.50
  4. Step 4: Simplify right side
    673.80x = 657,384.93
  5. Step 5: Solve for x
    x = 657,384.93/673.80
  6. Step 6: Final answer
    x = 975.64

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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.