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Finding the Fourth Proportional to 674.14, 924.25 and 661.84

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Solution

The fourth proportional to 674.14, 924.25 and 661.84 is: 907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 924.25 = 661.84 : x
  2. Step 2: Convert to fraction form
    674.14/924.25 = 661.84/x
  3. Step 3: Cross multiply
    674.14x = 924.25 × 661.84
  4. Step 4: Simplify right side
    674.14x = 611,703.39
  5. Step 5: Solve for x
    x = 611,703.39/674.14
  6. Step 6: Final answer
    x = 907.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.