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Finding the Fourth Proportional to 870.48, 1,193.91 and 823.41

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Solution

The fourth proportional to 870.48, 1,193.91 and 823.41 is: 1,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,193.91 = 823.41 : x
  2. Step 2: Convert to fraction form
    870.48/1,193.91 = 823.41/x
  3. Step 3: Cross multiply
    870.48x = 1,193.91 × 823.41
  4. Step 4: Simplify right side
    870.48x = 983,077.43
  5. Step 5: Solve for x
    x = 983,077.43/870.48
  6. Step 6: Final answer
    x = 1,129.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.