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Finding the Fourth Proportional to 1,156.53, 1,592.01 and 876.27

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Solution

The fourth proportional to 1,156.53, 1,592.01 and 876.27 is: 1,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.53 : 1,592.01 = 876.27 : x
  2. Step 2: Convert to fraction form
    1,156.53/1,592.01 = 876.27/x
  3. Step 3: Cross multiply
    1,156.53x = 1,592.01 × 876.27
  4. Step 4: Simplify right side
    1,156.53x = 1,395,030.60
  5. Step 5: Solve for x
    x = 1,395,030.60/1,156.53
  6. Step 6: Final answer
    x = 1,206.22

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