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Finding the Fourth Proportional to 897.86, 1,344.22 and 651.28

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Solution

The fourth proportional to 897.86, 1,344.22 and 651.28 is: 975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.86 : 1,344.22 = 651.28 : x
  2. Step 2: Convert to fraction form
    897.86/1,344.22 = 651.28/x
  3. Step 3: Cross multiply
    897.86x = 1,344.22 × 651.28
  4. Step 4: Simplify right side
    897.86x = 875,463.60
  5. Step 5: Solve for x
    x = 875,463.60/897.86
  6. Step 6: Final answer
    x = 975.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.