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Finding the Fourth Proportional to 899.76, 1,242.48 and 678.32

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Solution

The fourth proportional to 899.76, 1,242.48 and 678.32 is: 936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.76 : 1,242.48 = 678.32 : x
  2. Step 2: Convert to fraction form
    899.76/1,242.48 = 678.32/x
  3. Step 3: Cross multiply
    899.76x = 1,242.48 × 678.32
  4. Step 4: Simplify right side
    899.76x = 842,792.82
  5. Step 5: Solve for x
    x = 842,792.82/899.76
  6. Step 6: Final answer
    x = 936.69

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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.