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Finding the Fourth Proportional to 1,153.04, 1,589.95 and 821.35

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Solution

The fourth proportional to 1,153.04, 1,589.95 and 821.35 is: 1,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.04 : 1,589.95 = 821.35 : x
  2. Step 2: Convert to fraction form
    1,153.04/1,589.95 = 821.35/x
  3. Step 3: Cross multiply
    1,153.04x = 1,589.95 × 821.35
  4. Step 4: Simplify right side
    1,153.04x = 1,305,899.40
  5. Step 5: Solve for x
    x = 1,305,899.40/1,153.04
  6. Step 6: Final answer
    x = 1,132.57

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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.