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Finding the Fourth Proportional to 777.49, 1,071.59 and 666.82

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Solution

The fourth proportional to 777.49, 1,071.59 and 666.82 is: 919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.49 : 1,071.59 = 666.82 : x
  2. Step 2: Convert to fraction form
    777.49/1,071.59 = 666.82/x
  3. Step 3: Cross multiply
    777.49x = 1,071.59 × 666.82
  4. Step 4: Simplify right side
    777.49x = 714,557.64
  5. Step 5: Solve for x
    x = 714,557.64/777.49
  6. Step 6: Final answer
    x = 919.06

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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.