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Finding the Fourth Proportional to 1,045.00, 1,442.81 and 859.11

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Solution

The fourth proportional to 1,045.00, 1,442.81 and 859.11 is: 1,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.00 : 1,442.81 = 859.11 : x
  2. Step 2: Convert to fraction form
    1,045.00/1,442.81 = 859.11/x
  3. Step 3: Cross multiply
    1,045.00x = 1,442.81 × 859.11
  4. Step 4: Simplify right side
    1,045.00x = 1,239,529.24
  5. Step 5: Solve for x
    x = 1,239,529.24/1,045.00
  6. Step 6: Final answer
    x = 1,186.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.