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Finding the Fourth Proportional to 1,241.75, 1,714.02 and 776

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Solution

The fourth proportional to 1,241.75, 1,714.02 and 776 is: 1,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.75 : 1,714.02 = 776 : x
  2. Step 2: Convert to fraction form
    1,241.75/1,714.02 = 776/x
  3. Step 3: Cross multiply
    1,241.75x = 1,714.02 × 776
  4. Step 4: Simplify right side
    1,241.75x = 1,330,079.52
  5. Step 5: Solve for x
    x = 1,330,079.52/1,241.75
  6. Step 6: Final answer
    x = 1,071.13

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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.