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Finding the Fourth Proportional to 1,110.65, 1,533.30 and 691.37

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Solution

The fourth proportional to 1,110.65, 1,533.30 and 691.37 is: 954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.65 : 1,533.30 = 691.37 : x
  2. Step 2: Convert to fraction form
    1,110.65/1,533.30 = 691.37/x
  3. Step 3: Cross multiply
    1,110.65x = 1,533.30 × 691.37
  4. Step 4: Simplify right side
    1,110.65x = 1,060,069.95
  5. Step 5: Solve for x
    x = 1,060,069.95/1,110.65
  6. Step 6: Final answer
    x = 954.46

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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.