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Finding the Fourth Proportional to 929.69, 1,282.97 and 515.69

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Solution

The fourth proportional to 929.69, 1,282.97 and 515.69 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.69 : 1,282.97 = 515.69 : x
  2. Step 2: Convert to fraction form
    929.69/1,282.97 = 515.69/x
  3. Step 3: Cross multiply
    929.69x = 1,282.97 × 515.69
  4. Step 4: Simplify right side
    929.69x = 661,614.80
  5. Step 5: Solve for x
    x = 661,614.80/929.69
  6. Step 6: Final answer
    x = 711.65

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Double scale
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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.