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Finding the Fourth Proportional to 1,242.20, 1,714.10 and 711.11

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Solution

The fourth proportional to 1,242.20, 1,714.10 and 711.11 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.20 : 1,714.10 = 711.11 : x
  2. Step 2: Convert to fraction form
    1,242.20/1,714.10 = 711.11/x
  3. Step 3: Cross multiply
    1,242.20x = 1,714.10 × 711.11
  4. Step 4: Simplify right side
    1,242.20x = 1,218,914.38
  5. Step 5: Solve for x
    x = 1,218,914.38/1,242.20
  6. Step 6: Final answer
    x = 981.25

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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.