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Finding the Fourth Proportional to 1,036.48, 1,554.13 and 515.42

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Solution

The fourth proportional to 1,036.48, 1,554.13 and 515.42 is: 772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.48 : 1,554.13 = 515.42 : x
  2. Step 2: Convert to fraction form
    1,036.48/1,554.13 = 515.42/x
  3. Step 3: Cross multiply
    1,036.48x = 1,554.13 × 515.42
  4. Step 4: Simplify right side
    1,036.48x = 801,027.11
  5. Step 5: Solve for x
    x = 801,027.11/1,036.48
  6. Step 6: Final answer
    x = 772.83

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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.