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Finding the Fourth Proportional to 1,036.66, 1,554.99 and 306.24

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Solution

The fourth proportional to 1,036.66, 1,554.99 and 306.24 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.66 : 1,554.99 = 306.24 : x
  2. Step 2: Convert to fraction form
    1,036.66/1,554.99 = 306.24/x
  3. Step 3: Cross multiply
    1,036.66x = 1,554.99 × 306.24
  4. Step 4: Simplify right side
    1,036.66x = 476,200.14
  5. Step 5: Solve for x
    x = 476,200.14/1,036.66
  6. Step 6: Final answer
    x = 459.36

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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.