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Finding the Fourth Proportional to 696.42, 961.77 and 602.71

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Solution

The fourth proportional to 696.42, 961.77 and 602.71 is: 832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 961.77 = 602.71 : x
  2. Step 2: Convert to fraction form
    696.42/961.77 = 602.71/x
  3. Step 3: Cross multiply
    696.42x = 961.77 × 602.71
  4. Step 4: Simplify right side
    696.42x = 579,668.40
  5. Step 5: Solve for x
    x = 579,668.40/696.42
  6. Step 6: Final answer
    x = 832.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.