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Finding the Fourth Proportional to 1,100.13, 1,519.20 and 707.84

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Solution

The fourth proportional to 1,100.13, 1,519.20 and 707.84 is: 977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.13 : 1,519.20 = 707.84 : x
  2. Step 2: Convert to fraction form
    1,100.13/1,519.20 = 707.84/x
  3. Step 3: Cross multiply
    1,100.13x = 1,519.20 × 707.84
  4. Step 4: Simplify right side
    1,100.13x = 1,075,342.93
  5. Step 5: Solve for x
    x = 1,075,342.93/1,100.13
  6. Step 6: Final answer
    x = 977.47

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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.