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Finding the Fourth Proportional to 674.68, 1,005.50 and 651.19

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Solution

The fourth proportional to 674.68, 1,005.50 and 651.19 is: 970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 1,005.50 = 651.19 : x
  2. Step 2: Convert to fraction form
    674.68/1,005.50 = 651.19/x
  3. Step 3: Cross multiply
    674.68x = 1,005.50 × 651.19
  4. Step 4: Simplify right side
    674.68x = 654,771.55
  5. Step 5: Solve for x
    x = 654,771.55/674.68
  6. Step 6: Final answer
    x = 970.49

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1.5x scale

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.