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Finding the Fourth Proportional to 1,005.65, 1,507.80 and 698.11

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Solution

The fourth proportional to 1,005.65, 1,507.80 and 698.11 is: 1,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.65 : 1,507.80 = 698.11 : x
  2. Step 2: Convert to fraction form
    1,005.65/1,507.80 = 698.11/x
  3. Step 3: Cross multiply
    1,005.65x = 1,507.80 × 698.11
  4. Step 4: Simplify right side
    1,005.65x = 1,052,610.26
  5. Step 5: Solve for x
    x = 1,052,610.26/1,005.65
  6. Step 6: Final answer
    x = 1,046.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.