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Finding the Fourth Proportional to 1,005.05, 1,506.09 and 566.51

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Solution

The fourth proportional to 1,005.05, 1,506.09 and 566.51 is: 848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.05 : 1,506.09 = 566.51 : x
  2. Step 2: Convert to fraction form
    1,005.05/1,506.09 = 566.51/x
  3. Step 3: Cross multiply
    1,005.05x = 1,506.09 × 566.51
  4. Step 4: Simplify right side
    1,005.05x = 853,215.05
  5. Step 5: Solve for x
    x = 853,215.05/1,005.05
  6. Step 6: Final answer
    x = 848.93

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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.