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Finding the Fourth Proportional to 711.69, 981.57 and 512.82

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Solution

The fourth proportional to 711.69, 981.57 and 512.82 is: 707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.69 : 981.57 = 512.82 : x
  2. Step 2: Convert to fraction form
    711.69/981.57 = 512.82/x
  3. Step 3: Cross multiply
    711.69x = 981.57 × 512.82
  4. Step 4: Simplify right side
    711.69x = 503,368.73
  5. Step 5: Solve for x
    x = 503,368.73/711.69
  6. Step 6: Final answer
    x = 707.29

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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.