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Finding the Fourth Proportional to 870.40, 1,199.44 and 648.96

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Solution

The fourth proportional to 870.40, 1,199.44 and 648.96 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.40 : 1,199.44 = 648.96 : x
  2. Step 2: Convert to fraction form
    870.40/1,199.44 = 648.96/x
  3. Step 3: Cross multiply
    870.40x = 1,199.44 × 648.96
  4. Step 4: Simplify right side
    870.40x = 778,388.58
  5. Step 5: Solve for x
    x = 778,388.58/870.40
  6. Step 6: Final answer
    x = 894.29

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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.