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Finding the Fourth Proportional to 1,040.65, 1,554.29 and 835.62

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Solution

The fourth proportional to 1,040.65, 1,554.29 and 835.62 is: 1,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.65 : 1,554.29 = 835.62 : x
  2. Step 2: Convert to fraction form
    1,040.65/1,554.29 = 835.62/x
  3. Step 3: Cross multiply
    1,040.65x = 1,554.29 × 835.62
  4. Step 4: Simplify right side
    1,040.65x = 1,298,788.94
  5. Step 5: Solve for x
    x = 1,298,788.94/1,040.65
  6. Step 6: Final answer
    x = 1,248.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.