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Finding the Fourth Proportional to 858.71, 1,185.14 and 527.08

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Solution

The fourth proportional to 858.71, 1,185.14 and 527.08 is: 727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.71 : 1,185.14 = 527.08 : x
  2. Step 2: Convert to fraction form
    858.71/1,185.14 = 527.08/x
  3. Step 3: Cross multiply
    858.71x = 1,185.14 × 527.08
  4. Step 4: Simplify right side
    858.71x = 624,663.59
  5. Step 5: Solve for x
    x = 624,663.59/858.71
  6. Step 6: Final answer
    x = 727.44

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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.