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Finding the Fourth Proportional to 1,312.12, 1,968.06 and 400.12

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Solution

The fourth proportional to 1,312.12, 1,968.06 and 400.12 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.12 : 1,968.06 = 400.12 : x
  2. Step 2: Convert to fraction form
    1,312.12/1,968.06 = 400.12/x
  3. Step 3: Cross multiply
    1,312.12x = 1,968.06 × 400.12
  4. Step 4: Simplify right side
    1,312.12x = 787,460.17
  5. Step 5: Solve for x
    x = 787,460.17/1,312.12
  6. Step 6: Final answer
    x = 600.14

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.