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Finding the Fourth Proportional to 783.75, 1,077.16 and 761.88

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Solution

The fourth proportional to 783.75, 1,077.16 and 761.88 is: 1,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,077.16 = 761.88 : x
  2. Step 2: Convert to fraction form
    783.75/1,077.16 = 761.88/x
  3. Step 3: Cross multiply
    783.75x = 1,077.16 × 761.88
  4. Step 4: Simplify right side
    783.75x = 820,666.66
  5. Step 5: Solve for x
    x = 820,666.66/783.75
  6. Step 6: Final answer
    x = 1,047.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.