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Finding the Fourth Proportional to 711.18, 981.36 and 412.38

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Solution

The fourth proportional to 711.18, 981.36 and 412.38 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.18 : 981.36 = 412.38 : x
  2. Step 2: Convert to fraction form
    711.18/981.36 = 412.38/x
  3. Step 3: Cross multiply
    711.18x = 981.36 × 412.38
  4. Step 4: Simplify right side
    711.18x = 404,693.24
  5. Step 5: Solve for x
    x = 404,693.24/711.18
  6. Step 6: Final answer
    x = 569.04

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Half scale
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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.