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Finding the Fourth Proportional to 1,108.91, 1,530.62 and 777.42

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Solution

The fourth proportional to 1,108.91, 1,530.62 and 777.42 is: 1,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.91 : 1,530.62 = 777.42 : x
  2. Step 2: Convert to fraction form
    1,108.91/1,530.62 = 777.42/x
  3. Step 3: Cross multiply
    1,108.91x = 1,530.62 × 777.42
  4. Step 4: Simplify right side
    1,108.91x = 1,189,933.63
  5. Step 5: Solve for x
    x = 1,189,933.63/1,108.91
  6. Step 6: Final answer
    x = 1,073.06

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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.