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Finding the Fourth Proportional to 897.10, 1,238.31 and 661.32

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Solution

The fourth proportional to 897.10, 1,238.31 and 661.32 is: 912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,238.31 = 661.32 : x
  2. Step 2: Convert to fraction form
    897.10/1,238.31 = 661.32/x
  3. Step 3: Cross multiply
    897.10x = 1,238.31 × 661.32
  4. Step 4: Simplify right side
    897.10x = 818,919.17
  5. Step 5: Solve for x
    x = 818,919.17/897.10
  6. Step 6: Final answer
    x = 912.85

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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.