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Finding the Fourth Proportional to 859.72, 1,185.06 and 652.36

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Solution

The fourth proportional to 859.72, 1,185.06 and 652.36 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.72 : 1,185.06 = 652.36 : x
  2. Step 2: Convert to fraction form
    859.72/1,185.06 = 652.36/x
  3. Step 3: Cross multiply
    859.72x = 1,185.06 × 652.36
  4. Step 4: Simplify right side
    859.72x = 773,085.74
  5. Step 5: Solve for x
    x = 773,085.74/859.72
  6. Step 6: Final answer
    x = 899.23

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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.